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Simplifying 10(m + 2) = 6(m + 4) Reorder the terms: 10(2 + m) = 6(m + 4) (2 * 10 + m * 10) = 6(m + 4) (20 + 10m) = 6(m + 4) Reorder the terms: 20 + 10m = 6(4 + m) 20 + 10m = (4 * 6 + m * 6) 20 + 10m = (24 + 6m) Solving 20 + 10m = 24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 20 + 10m + -6m = 24 + 6m + -6m Combine like terms: 10m + -6m = 4m 20 + 4m = 24 + 6m + -6m Combine like terms: 6m + -6m = 0 20 + 4m = 24 + 0 20 + 4m = 24 Add '-20' to each side of the equation. 20 + -20 + 4m = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 4m = 24 + -20 4m = 24 + -20 Combine like terms: 24 + -20 = 4 4m = 4 Divide each side by '4'. m = 1 Simplifying m = 1
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