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Simplifying 8(12 + -1m) = 3(m + 21) (12 * 8 + -1m * 8) = 3(m + 21) (96 + -8m) = 3(m + 21) Reorder the terms: 96 + -8m = 3(21 + m) 96 + -8m = (21 * 3 + m * 3) 96 + -8m = (63 + 3m) Solving 96 + -8m = 63 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 96 + -8m + -3m = 63 + 3m + -3m Combine like terms: -8m + -3m = -11m 96 + -11m = 63 + 3m + -3m Combine like terms: 3m + -3m = 0 96 + -11m = 63 + 0 96 + -11m = 63 Add '-96' to each side of the equation. 96 + -96 + -11m = 63 + -96 Combine like terms: 96 + -96 = 0 0 + -11m = 63 + -96 -11m = 63 + -96 Combine like terms: 63 + -96 = -33 -11m = -33 Divide each side by '-11'. m = 3 Simplifying m = 3
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