-357=7(7m+6)-7

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Solution for -357=7(7m+6)-7 equation:


Simplifying
-357 = 7(7m + 6) + -7

Reorder the terms:
-357 = 7(6 + 7m) + -7
-357 = (6 * 7 + 7m * 7) + -7
-357 = (42 + 49m) + -7

Reorder the terms:
-357 = 42 + -7 + 49m

Combine like terms: 42 + -7 = 35
-357 = 35 + 49m

Solving
-357 = 35 + 49m

Solving for variable 'm'.

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

Add '-49m' to each side of the equation.
-357 + -49m = 35 + 49m + -49m

Combine like terms: 49m + -49m = 0
-357 + -49m = 35 + 0
-357 + -49m = 35

Add '357' to each side of the equation.
-357 + 357 + -49m = 35 + 357

Combine like terms: -357 + 357 = 0
0 + -49m = 35 + 357
-49m = 35 + 357

Combine like terms: 35 + 357 = 392
-49m = 392

Divide each side by '-49'.
m = -8

Simplifying
m = -8

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