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Simplifying 9 + 3(m + 5) = 8(2m + -3) + -1m Reorder the terms: 9 + 3(5 + m) = 8(2m + -3) + -1m 9 + (5 * 3 + m * 3) = 8(2m + -3) + -1m 9 + (15 + 3m) = 8(2m + -3) + -1m Combine like terms: 9 + 15 = 24 24 + 3m = 8(2m + -3) + -1m Reorder the terms: 24 + 3m = 8(-3 + 2m) + -1m 24 + 3m = (-3 * 8 + 2m * 8) + -1m 24 + 3m = (-24 + 16m) + -1m Combine like terms: 16m + -1m = 15m 24 + 3m = -24 + 15m Solving 24 + 3m = -24 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 24 + 3m + -15m = -24 + 15m + -15m Combine like terms: 3m + -15m = -12m 24 + -12m = -24 + 15m + -15m Combine like terms: 15m + -15m = 0 24 + -12m = -24 + 0 24 + -12m = -24 Add '-24' to each side of the equation. 24 + -24 + -12m = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -12m = -24 + -24 -12m = -24 + -24 Combine like terms: -24 + -24 = -48 -12m = -48 Divide each side by '-12'. m = 4 Simplifying m = 4
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