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Solved Examples
Curriculum:
Iowa Math Framework
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Topic:
Solving Equations
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Lesson:
Solving Equations with Variables on Both Sides
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Attempt following question by selecting a choice to answer.
f
Solve the equation
12(
m
- 3) = 4
m
+ 3
, for the value of
m
.
DDD fff
A.
f
4
1
3
B.
f
1
12
C.
f
5
D.
f
4
7
8
ff
D
View Solution Steps
Step 1: [Original equation.]12(
m
- 3) = 4
m
+ 3
Step 2: [Use distributive property.]12
m
- 36 = 4
m
+ 3
Step 3: [Subtract 4
m
from each side.]12
m
- 36 - 4
m
= 4
m
+ 3 - 4
m
Step 4: [Simplify.]8
m
- 36 = 3
Step 5: [Add 36 to both sides.]8
m
- 36 + 36 = 3 + 36
Step 6: [Simplify each side.]8
m
= 39
Step 7: [Divide each side with 8.]
m
=
39
8
Step 8: [Simplify.]
m
=
4
7
8
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