6m-7(2m-3)=62-9

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Solution for 6m-7(2m-3)=62-9 equation:


Simplifying
6m + -7(2m + -3) = 62 + -9

Reorder the terms:
6m + -7(-3 + 2m) = 62 + -9
6m + (-3 * -7 + 2m * -7) = 62 + -9
6m + (21 + -14m) = 62 + -9

Reorder the terms:
21 + 6m + -14m = 62 + -9

Combine like terms: 6m + -14m = -8m
21 + -8m = 62 + -9

Combine like terms: 62 + -9 = 53
21 + -8m = 53

Solving
21 + -8m = 53

Solving for variable 'm'.

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

Add '-21' to each side of the equation.
21 + -21 + -8m = 53 + -21

Combine like terms: 21 + -21 = 0
0 + -8m = 53 + -21
-8m = 53 + -21

Combine like terms: 53 + -21 = 32
-8m = 32

Divide each side by '-8'.
m = -4

Simplifying
m = -4

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