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Simplifying 5(m + 3) + 2(3 + -2m) = 36 Reorder the terms: 5(3 + m) + 2(3 + -2m) = 36 (3 * 5 + m * 5) + 2(3 + -2m) = 36 (15 + 5m) + 2(3 + -2m) = 36 15 + 5m + (3 * 2 + -2m * 2) = 36 15 + 5m + (6 + -4m) = 36 Reorder the terms: 15 + 6 + 5m + -4m = 36 Combine like terms: 15 + 6 = 21 21 + 5m + -4m = 36 Combine like terms: 5m + -4m = 1m 21 + 1m = 36 Solving 21 + 1m = 36 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1m = 36 + -21 Combine like terms: 21 + -21 = 0 0 + 1m = 36 + -21 1m = 36 + -21 Combine like terms: 36 + -21 = 15 1m = 15 Divide each side by '1'. m = 15 Simplifying m = 15
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