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Simplifying 112 = 8(6 + -3m) + -8 112 = (6 * 8 + -3m * 8) + -8 112 = (48 + -24m) + -8 Reorder the terms: 112 = 48 + -8 + -24m Combine like terms: 48 + -8 = 40 112 = 40 + -24m Solving 112 = 40 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. 112 + 24m = 40 + -24m + 24m Combine like terms: -24m + 24m = 0 112 + 24m = 40 + 0 112 + 24m = 40 Add '-112' to each side of the equation. 112 + -112 + 24m = 40 + -112 Combine like terms: 112 + -112 = 0 0 + 24m = 40 + -112 24m = 40 + -112 Combine like terms: 40 + -112 = -72 24m = -72 Divide each side by '24'. m = -3 Simplifying m = -3
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