7(4m+3)-3(8m-5)=0

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Solution for 7(4m+3)-3(8m-5)=0 equation:


Simplifying
7(4m + 3) + -3(8m + -5) = 0

Reorder the terms:
7(3 + 4m) + -3(8m + -5) = 0
(3 * 7 + 4m * 7) + -3(8m + -5) = 0
(21 + 28m) + -3(8m + -5) = 0

Reorder the terms:
21 + 28m + -3(-5 + 8m) = 0
21 + 28m + (-5 * -3 + 8m * -3) = 0
21 + 28m + (15 + -24m) = 0

Reorder the terms:
21 + 15 + 28m + -24m = 0

Combine like terms: 21 + 15 = 36
36 + 28m + -24m = 0

Combine like terms: 28m + -24m = 4m
36 + 4m = 0

Solving
36 + 4m = 0

Solving for variable 'm'.

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

Add '-36' to each side of the equation.
36 + -36 + 4m = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 4m = 0 + -36
4m = 0 + -36

Combine like terms: 0 + -36 = -36
4m = -36

Divide each side by '4'.
m = -9

Simplifying
m = -9

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