3(7m+4)+5=6(5m-3)-4m

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Solution for 3(7m+4)+5=6(5m-3)-4m equation:


Simplifying
3(7m + 4) + 5 = 6(5m + -3) + -4m

Reorder the terms:
3(4 + 7m) + 5 = 6(5m + -3) + -4m
(4 * 3 + 7m * 3) + 5 = 6(5m + -3) + -4m
(12 + 21m) + 5 = 6(5m + -3) + -4m

Reorder the terms:
12 + 5 + 21m = 6(5m + -3) + -4m

Combine like terms: 12 + 5 = 17
17 + 21m = 6(5m + -3) + -4m

Reorder the terms:
17 + 21m = 6(-3 + 5m) + -4m
17 + 21m = (-3 * 6 + 5m * 6) + -4m
17 + 21m = (-18 + 30m) + -4m

Combine like terms: 30m + -4m = 26m
17 + 21m = -18 + 26m

Solving
17 + 21m = -18 + 26m

Solving for variable 'm'.

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

Add '-26m' to each side of the equation.
17 + 21m + -26m = -18 + 26m + -26m

Combine like terms: 21m + -26m = -5m
17 + -5m = -18 + 26m + -26m

Combine like terms: 26m + -26m = 0
17 + -5m = -18 + 0
17 + -5m = -18

Add '-17' to each side of the equation.
17 + -17 + -5m = -18 + -17

Combine like terms: 17 + -17 = 0
0 + -5m = -18 + -17
-5m = -18 + -17

Combine like terms: -18 + -17 = -35
-5m = -35

Divide each side by '-5'.
m = 7

Simplifying
m = 7

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