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Simplifying 5(m + 3) = 2m + 48 Reorder the terms: 5(3 + m) = 2m + 48 (3 * 5 + m * 5) = 2m + 48 (15 + 5m) = 2m + 48 Reorder the terms: 15 + 5m = 48 + 2m Solving 15 + 5m = 48 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 15 + 5m + -2m = 48 + 2m + -2m Combine like terms: 5m + -2m = 3m 15 + 3m = 48 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + 3m = 48 + 0 15 + 3m = 48 Add '-15' to each side of the equation. 15 + -15 + 3m = 48 + -15 Combine like terms: 15 + -15 = 0 0 + 3m = 48 + -15 3m = 48 + -15 Combine like terms: 48 + -15 = 33 3m = 33 Divide each side by '3'. m = 11 Simplifying m = 11
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