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Simplifying 9 + 12m = 6 + 15(m + -1) Reorder the terms: 9 + 12m = 6 + 15(-1 + m) 9 + 12m = 6 + (-1 * 15 + m * 15) 9 + 12m = 6 + (-15 + 15m) Combine like terms: 6 + -15 = -9 9 + 12m = -9 + 15m Solving 9 + 12m = -9 + 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. 9 + 12m + -15m = -9 + 15m + -15m Combine like terms: 12m + -15m = -3m 9 + -3m = -9 + 15m + -15m Combine like terms: 15m + -15m = 0 9 + -3m = -9 + 0 9 + -3m = -9 Add '-9' to each side of the equation. 9 + -9 + -3m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -3m = -9 + -9 -3m = -9 + -9 Combine like terms: -9 + -9 = -18 -3m = -18 Divide each side by '-3'. m = 6 Simplifying m = 6
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