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Simplifying 2(m + 5) = 5m + 6 + -1m Reorder the terms: 2(5 + m) = 5m + 6 + -1m (5 * 2 + m * 2) = 5m + 6 + -1m (10 + 2m) = 5m + 6 + -1m Reorder the terms: 10 + 2m = 6 + 5m + -1m Combine like terms: 5m + -1m = 4m 10 + 2m = 6 + 4m Solving 10 + 2m = 6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 10 + 2m + -4m = 6 + 4m + -4m Combine like terms: 2m + -4m = -2m 10 + -2m = 6 + 4m + -4m Combine like terms: 4m + -4m = 0 10 + -2m = 6 + 0 10 + -2m = 6 Add '-10' to each side of the equation. 10 + -10 + -2m = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2m = 6 + -10 -2m = 6 + -10 Combine like terms: 6 + -10 = -4 -2m = -4 Divide each side by '-2'. m = 2 Simplifying m = 2
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