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Simplifying 4(m + 12) = 8m Reorder the terms: 4(12 + m) = 8m (12 * 4 + m * 4) = 8m (48 + 4m) = 8m Solving 48 + 4m = 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 48 + 4m + -8m = 8m + -8m Combine like terms: 4m + -8m = -4m 48 + -4m = 8m + -8m Combine like terms: 8m + -8m = 0 48 + -4m = 0 Add '-48' to each side of the equation. 48 + -48 + -4m = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4m = 0 + -48 -4m = 0 + -48 Combine like terms: 0 + -48 = -48 -4m = -48 Divide each side by '-4'. m = 12 Simplifying m = 12
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