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Simplifying 3(m + -5) = 2(m + 1) + -9 Reorder the terms: 3(-5 + m) = 2(m + 1) + -9 (-5 * 3 + m * 3) = 2(m + 1) + -9 (-15 + 3m) = 2(m + 1) + -9 Reorder the terms: -15 + 3m = 2(1 + m) + -9 -15 + 3m = (1 * 2 + m * 2) + -9 -15 + 3m = (2 + 2m) + -9 Reorder the terms: -15 + 3m = 2 + -9 + 2m Combine like terms: 2 + -9 = -7 -15 + 3m = -7 + 2m Solving -15 + 3m = -7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -15 + 3m + -2m = -7 + 2m + -2m Combine like terms: 3m + -2m = 1m -15 + 1m = -7 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + 1m = -7 + 0 -15 + 1m = -7 Add '15' to each side of the equation. -15 + 15 + 1m = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = -7 + 15 1m = -7 + 15 Combine like terms: -7 + 15 = 8 1m = 8 Divide each side by '1'. m = 8 Simplifying m = 8
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