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Simplifying -5(m + -3) = 13 + -3m Reorder the terms: -5(-3 + m) = 13 + -3m (-3 * -5 + m * -5) = 13 + -3m (15 + -5m) = 13 + -3m Solving 15 + -5m = 13 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 15 + -5m + 3m = 13 + -3m + 3m Combine like terms: -5m + 3m = -2m 15 + -2m = 13 + -3m + 3m Combine like terms: -3m + 3m = 0 15 + -2m = 13 + 0 15 + -2m = 13 Add '-15' to each side of the equation. 15 + -15 + -2m = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -2m = 13 + -15 -2m = 13 + -15 Combine like terms: 13 + -15 = -2 -2m = -2 Divide each side by '-2'. m = 1 Simplifying m = 1
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