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Simplifying 3(m + -5) = 2(m + 2) Reorder the terms: 3(-5 + m) = 2(m + 2) (-5 * 3 + m * 3) = 2(m + 2) (-15 + 3m) = 2(m + 2) Reorder the terms: -15 + 3m = 2(2 + m) -15 + 3m = (2 * 2 + m * 2) -15 + 3m = (4 + 2m) Solving -15 + 3m = 4 + 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 = 4 + 2m + -2m Combine like terms: 3m + -2m = 1m -15 + 1m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + 1m = 4 + 0 -15 + 1m = 4 Add '15' to each side of the equation. -15 + 15 + 1m = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = 4 + 15 1m = 4 + 15 Combine like terms: 4 + 15 = 19 1m = 19 Divide each side by '1'. m = 19 Simplifying m = 19
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