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Simplifying 4(m + 5) = 3(4m + -4) Reorder the terms: 4(5 + m) = 3(4m + -4) (5 * 4 + m * 4) = 3(4m + -4) (20 + 4m) = 3(4m + -4) Reorder the terms: 20 + 4m = 3(-4 + 4m) 20 + 4m = (-4 * 3 + 4m * 3) 20 + 4m = (-12 + 12m) Solving 20 + 4m = -12 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 20 + 4m + -12m = -12 + 12m + -12m Combine like terms: 4m + -12m = -8m 20 + -8m = -12 + 12m + -12m Combine like terms: 12m + -12m = 0 20 + -8m = -12 + 0 20 + -8m = -12 Add '-20' to each side of the equation. 20 + -20 + -8m = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8m = -12 + -20 -8m = -12 + -20 Combine like terms: -12 + -20 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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