6m-7(m-2)=10-3m

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Solution for 6m-7(m-2)=10-3m equation:


Simplifying
6m + -7(m + -2) = 10 + -3m

Reorder the terms:
6m + -7(-2 + m) = 10 + -3m
6m + (-2 * -7 + m * -7) = 10 + -3m
6m + (14 + -7m) = 10 + -3m

Reorder the terms:
14 + 6m + -7m = 10 + -3m

Combine like terms: 6m + -7m = -1m
14 + -1m = 10 + -3m

Solving
14 + -1m = 10 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
14 + -1m + 3m = 10 + -3m + 3m

Combine like terms: -1m + 3m = 2m
14 + 2m = 10 + -3m + 3m

Combine like terms: -3m + 3m = 0
14 + 2m = 10 + 0
14 + 2m = 10

Add '-14' to each side of the equation.
14 + -14 + 2m = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 2m = 10 + -14
2m = 10 + -14

Combine like terms: 10 + -14 = -4
2m = -4

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

Simplifying
m = -2

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