9+7m=7(4m+4)+2

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Solution for 9+7m=7(4m+4)+2 equation:


Simplifying
9 + 7m = 7(4m + 4) + 2

Reorder the terms:
9 + 7m = 7(4 + 4m) + 2
9 + 7m = (4 * 7 + 4m * 7) + 2
9 + 7m = (28 + 28m) + 2

Reorder the terms:
9 + 7m = 28 + 2 + 28m

Combine like terms: 28 + 2 = 30
9 + 7m = 30 + 28m

Solving
9 + 7m = 30 + 28m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-28m' to each side of the equation.
9 + 7m + -28m = 30 + 28m + -28m

Combine like terms: 7m + -28m = -21m
9 + -21m = 30 + 28m + -28m

Combine like terms: 28m + -28m = 0
9 + -21m = 30 + 0
9 + -21m = 30

Add '-9' to each side of the equation.
9 + -9 + -21m = 30 + -9

Combine like terms: 9 + -9 = 0
0 + -21m = 30 + -9
-21m = 30 + -9

Combine like terms: 30 + -9 = 21
-21m = 21

Divide each side by '-21'.
m = -1

Simplifying
m = -1

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