3(8m+4)=8(6m-1)+5

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Solution for 3(8m+4)=8(6m-1)+5 equation:


Simplifying
3(8m + 4) = 8(6m + -1) + 5

Reorder the terms:
3(4 + 8m) = 8(6m + -1) + 5
(4 * 3 + 8m * 3) = 8(6m + -1) + 5
(12 + 24m) = 8(6m + -1) + 5

Reorder the terms:
12 + 24m = 8(-1 + 6m) + 5
12 + 24m = (-1 * 8 + 6m * 8) + 5
12 + 24m = (-8 + 48m) + 5

Reorder the terms:
12 + 24m = -8 + 5 + 48m

Combine like terms: -8 + 5 = -3
12 + 24m = -3 + 48m

Solving
12 + 24m = -3 + 48m

Solving for variable 'm'.

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

Add '-48m' to each side of the equation.
12 + 24m + -48m = -3 + 48m + -48m

Combine like terms: 24m + -48m = -24m
12 + -24m = -3 + 48m + -48m

Combine like terms: 48m + -48m = 0
12 + -24m = -3 + 0
12 + -24m = -3

Add '-12' to each side of the equation.
12 + -12 + -24m = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -24m = -3 + -12
-24m = -3 + -12

Combine like terms: -3 + -12 = -15
-24m = -15

Divide each side by '-24'.
m = 0.625

Simplifying
m = 0.625

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