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Simplifying 42 = -5(m + -6) + -1(3 + -2m) Reorder the terms: 42 = -5(-6 + m) + -1(3 + -2m) 42 = (-6 * -5 + m * -5) + -1(3 + -2m) 42 = (30 + -5m) + -1(3 + -2m) 42 = 30 + -5m + (3 * -1 + -2m * -1) 42 = 30 + -5m + (-3 + 2m) Reorder the terms: 42 = 30 + -3 + -5m + 2m Combine like terms: 30 + -3 = 27 42 = 27 + -5m + 2m Combine like terms: -5m + 2m = -3m 42 = 27 + -3m Solving 42 = 27 + -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. 42 + 3m = 27 + -3m + 3m Combine like terms: -3m + 3m = 0 42 + 3m = 27 + 0 42 + 3m = 27 Add '-42' to each side of the equation. 42 + -42 + 3m = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 3m = 27 + -42 3m = 27 + -42 Combine like terms: 27 + -42 = -15 3m = -15 Divide each side by '3'. m = -5 Simplifying m = -5
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