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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Multi-Step Equations
Solve each equation.
1)
6
a + 5
a = −11 2)
−6
n − 2
n = 16
3)
4
x + 6 + 3 = 17 4) 0 =
−5
n − 2
n
5)
6
r − 1 + 6
r = 11 6)
r + 11 + 8
r = 29
7) −10 =
−14
v + 14
v 8)
−10
p + 9
p = 12
9) 42 =
8
m + 13
m 10)
a − 2 + 3 = −2
11) 18 =
3
(
3
x − 6
)
12) 30 =
−5
(
6
n + 6
)
-1-
©
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Worksheet by Kuta Software LLC
13) 37 =
−3 +
5
(
x + 6
)
14) −13 =
5
(
1 + 4
m
)
− 2
m
15)
4
(
−
x + 4
)
= 12 16) −2 =
−
(
n − 8
)
17)
−6
(
1 − 5
v
)
= 54 18) 8 =
8
v −
4
(
v + 8
)
19)
10
(
1 + 3
b
)
= −20 20)
−5
n −
8
(
1 + 7
n
)
= −8
21)
8
(
4
k − 4
)
=
−5
k − 32 22)
−8
(
−8
x − 6
)
=
−6
x − 22
23)
8
(
1 + 5
x
)
+ 5 =
13 +
5
x 24)
−11 −
5
a =
6
(
5
a + 4
)
-2-
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Worksheet by Kuta Software LLC
25)
−5
(
4
x − 2
)
=
−2
(
3 + 6
x
)
26)
5
(
2
x + 6
)
=
−4
(
−5 − 2
x
)
+ 3
x
-3-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Multi-Step Equations
Solve each equation.
1)
6
a + 5
a = −11
{
−1
}
2)
−6
n − 2
n = 16
{
−2
}
3)
4
x + 6 + 3 = 17
{
2
}
4) 0 =
−5
n − 2
n
{
0
}
5)
6
r − 1 + 6
r = 11
{
1
}
6)
r + 11 + 8
r = 29
{
2
}
7) −10 =
−14
v + 14
v
No solution.
8)
−10
p + 9
p = 12
{
−12
}
9) 42 =
8
m + 13
m
{
2
}
10)
a − 2 + 3 = −2
{
−3
}
11) 18 =
3
(
3
x − 6
)
{
4
}
12) 30 =
−5
(
6
n + 6
)
{
−2
}
-1-
©
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Worksheet by Kuta Software LLC
13) 37 =
−3 +
5
(
x + 6
)
{
2
}
14) −13 =
5
(
1 + 4
m
)
− 2
m
{
−1
}
15)
4
(
−
x + 4
)
= 12
{
1
}
16) −2 =
−
(
n − 8
)
{
10
}
17)
−6
(
1 − 5
v
)
= 54
{
2
}
18) 8 =
8
v −
4
(
v + 8
)
{
10
}
19)
10
(
1 + 3
b
)
= −20
{
−1
}
20)
−5
n −
8
(
1 + 7
n
)
= −8
{
0
}
21)
8
(
4
k − 4
)
=
−5
k − 32
{
0
}
22)
−8
(
−8
x − 6
)
=
−6
x − 22
{
−1
}
23)
8
(
1 + 5
x
)
+ 5 =
13 +
5
x
{
0
}
24)
−11 −
5
a =
6
(
5
a + 4
)
{
−1
}
-2-
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Worksheet by Kuta Software LLC
25)
−5
(
4
x − 2
)
=
−2
(
3 + 6
x
)
{
2
}
26)
5
(
2
x + 6
)
=
−4
(
−5 − 2
x
)
+ 3
x
{
10
}
-3-
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