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Simplifying 8(m + 3) = 12(m + -4) Reorder the terms: 8(3 + m) = 12(m + -4) (3 * 8 + m * 8) = 12(m + -4) (24 + 8m) = 12(m + -4) Reorder the terms: 24 + 8m = 12(-4 + m) 24 + 8m = (-4 * 12 + m * 12) 24 + 8m = (-48 + 12m) Solving 24 + 8m = -48 + 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. 24 + 8m + -12m = -48 + 12m + -12m Combine like terms: 8m + -12m = -4m 24 + -4m = -48 + 12m + -12m Combine like terms: 12m + -12m = 0 24 + -4m = -48 + 0 24 + -4m = -48 Add '-24' to each side of the equation. 24 + -24 + -4m = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -4m = -48 + -24 -4m = -48 + -24 Combine like terms: -48 + -24 = -72 -4m = -72 Divide each side by '-4'. m = 18 Simplifying m = 18
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