8(-4-2m)+2(7m+6)=-34

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Solution for 8(-4-2m)+2(7m+6)=-34 equation:


Simplifying
8(-4 + -2m) + 2(7m + 6) = -34
(-4 * 8 + -2m * 8) + 2(7m + 6) = -34
(-32 + -16m) + 2(7m + 6) = -34

Reorder the terms:
-32 + -16m + 2(6 + 7m) = -34
-32 + -16m + (6 * 2 + 7m * 2) = -34
-32 + -16m + (12 + 14m) = -34

Reorder the terms:
-32 + 12 + -16m + 14m = -34

Combine like terms: -32 + 12 = -20
-20 + -16m + 14m = -34

Combine like terms: -16m + 14m = -2m
-20 + -2m = -34

Solving
-20 + -2m = -34

Solving for variable 'm'.

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

Add '20' to each side of the equation.
-20 + 20 + -2m = -34 + 20

Combine like terms: -20 + 20 = 0
0 + -2m = -34 + 20
-2m = -34 + 20

Combine like terms: -34 + 20 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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