3(2m+1)+4=4m+21

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Solution for 3(2m+1)+4=4m+21 equation:


Simplifying
3(2m + 1) + 4 = 4m + 21

Reorder the terms:
3(1 + 2m) + 4 = 4m + 21
(1 * 3 + 2m * 3) + 4 = 4m + 21
(3 + 6m) + 4 = 4m + 21

Reorder the terms:
3 + 4 + 6m = 4m + 21

Combine like terms: 3 + 4 = 7
7 + 6m = 4m + 21

Reorder the terms:
7 + 6m = 21 + 4m

Solving
7 + 6m = 21 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
7 + 6m + -4m = 21 + 4m + -4m

Combine like terms: 6m + -4m = 2m
7 + 2m = 21 + 4m + -4m

Combine like terms: 4m + -4m = 0
7 + 2m = 21 + 0
7 + 2m = 21

Add '-7' to each side of the equation.
7 + -7 + 2m = 21 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = 21 + -7
2m = 21 + -7

Combine like terms: 21 + -7 = 14
2m = 14

Divide each side by '2'.
m = 7

Simplifying
m = 7

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