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Simplifying 6(m + 2) = 10(5 + m) Reorder the terms: 6(2 + m) = 10(5 + m) (2 * 6 + m * 6) = 10(5 + m) (12 + 6m) = 10(5 + m) 12 + 6m = (5 * 10 + m * 10) 12 + 6m = (50 + 10m) Solving 12 + 6m = 50 + 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. 12 + 6m + -10m = 50 + 10m + -10m Combine like terms: 6m + -10m = -4m 12 + -4m = 50 + 10m + -10m Combine like terms: 10m + -10m = 0 12 + -4m = 50 + 0 12 + -4m = 50 Add '-12' to each side of the equation. 12 + -12 + -4m = 50 + -12 Combine like terms: 12 + -12 = 0 0 + -4m = 50 + -12 -4m = 50 + -12 Combine like terms: 50 + -12 = 38 -4m = 38 Divide each side by '-4'. m = -9.5 Simplifying m = -9.5
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