13+4(2m-3)=2(m-3)+7

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Solution for 13+4(2m-3)=2(m-3)+7 equation:


Simplifying
13 + 4(2m + -3) = 2(m + -3) + 7

Reorder the terms:
13 + 4(-3 + 2m) = 2(m + -3) + 7
13 + (-3 * 4 + 2m * 4) = 2(m + -3) + 7
13 + (-12 + 8m) = 2(m + -3) + 7

Combine like terms: 13 + -12 = 1
1 + 8m = 2(m + -3) + 7

Reorder the terms:
1 + 8m = 2(-3 + m) + 7
1 + 8m = (-3 * 2 + m * 2) + 7
1 + 8m = (-6 + 2m) + 7

Reorder the terms:
1 + 8m = -6 + 7 + 2m

Combine like terms: -6 + 7 = 1
1 + 8m = 1 + 2m

Add '-1' to each side of the equation.
1 + -1 + 8m = 1 + -1 + 2m

Combine like terms: 1 + -1 = 0
0 + 8m = 1 + -1 + 2m
8m = 1 + -1 + 2m

Combine like terms: 1 + -1 = 0
8m = 0 + 2m
8m = 2m

Solving
8m = 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
8m + -2m = 2m + -2m

Combine like terms: 8m + -2m = 6m
6m = 2m + -2m

Combine like terms: 2m + -2m = 0
6m = 0

Divide each side by '6'.
m = 0

Simplifying
m = 0

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