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Simplifying 6(m + 5) = 5(2m + -4) Reorder the terms: 6(5 + m) = 5(2m + -4) (5 * 6 + m * 6) = 5(2m + -4) (30 + 6m) = 5(2m + -4) Reorder the terms: 30 + 6m = 5(-4 + 2m) 30 + 6m = (-4 * 5 + 2m * 5) 30 + 6m = (-20 + 10m) Solving 30 + 6m = -20 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 30 + 6m + -10m = -20 + 10m + -10m Combine like terms: 6m + -10m = -4m 30 + -4m = -20 + 10m + -10m Combine like terms: 10m + -10m = 0 30 + -4m = -20 + 0 30 + -4m = -20 Add '-30' to each side of the equation. 30 + -30 + -4m = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -4m = -20 + -30 -4m = -20 + -30 Combine like terms: -20 + -30 = -50 -4m = -50 Divide each side by '-4'. m = 12.5 Simplifying m = 12.5
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