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Simplifying 3(m + -4) = 5(m + 2) Reorder the terms: 3(-4 + m) = 5(m + 2) (-4 * 3 + m * 3) = 5(m + 2) (-12 + 3m) = 5(m + 2) Reorder the terms: -12 + 3m = 5(2 + m) -12 + 3m = (2 * 5 + m * 5) -12 + 3m = (10 + 5m) Solving -12 + 3m = 10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 3m + -5m = 10 + 5m + -5m Combine like terms: 3m + -5m = -2m -12 + -2m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + -2m = 10 + 0 -12 + -2m = 10 Add '12' to each side of the equation. -12 + 12 + -2m = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2m = 10 + 12 -2m = 10 + 12 Combine like terms: 10 + 12 = 22 -2m = 22 Divide each side by '-2'. m = -11 Simplifying m = -11
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