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Simplifying 15(m + -2) = 14(m + 1) Reorder the terms: 15(-2 + m) = 14(m + 1) (-2 * 15 + m * 15) = 14(m + 1) (-30 + 15m) = 14(m + 1) Reorder the terms: -30 + 15m = 14(1 + m) -30 + 15m = (1 * 14 + m * 14) -30 + 15m = (14 + 14m) Solving -30 + 15m = 14 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -30 + 15m + -14m = 14 + 14m + -14m Combine like terms: 15m + -14m = 1m -30 + 1m = 14 + 14m + -14m Combine like terms: 14m + -14m = 0 -30 + 1m = 14 + 0 -30 + 1m = 14 Add '30' to each side of the equation. -30 + 30 + 1m = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 1m = 14 + 30 1m = 14 + 30 Combine like terms: 14 + 30 = 44 1m = 44 Divide each side by '1'. m = 44 Simplifying m = 44
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