7(2m+1)=13m-3

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Solution for 7(2m+1)=13m-3 equation:


Simplifying
7(2m + 1) = 13m + -3

Reorder the terms:
7(1 + 2m) = 13m + -3
(1 * 7 + 2m * 7) = 13m + -3
(7 + 14m) = 13m + -3

Reorder the terms:
7 + 14m = -3 + 13m

Solving
7 + 14m = -3 + 13m

Solving for variable 'm'.

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

Add '-13m' to each side of the equation.
7 + 14m + -13m = -3 + 13m + -13m

Combine like terms: 14m + -13m = 1m
7 + 1m = -3 + 13m + -13m

Combine like terms: 13m + -13m = 0
7 + 1m = -3 + 0
7 + 1m = -3

Add '-7' to each side of the equation.
7 + -7 + 1m = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 1m = -3 + -7
1m = -3 + -7

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

Divide each side by '1'.
m = -10

Simplifying
m = -10

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