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Simplifying 42 = -2(m + -6) + -1(m + -6) Reorder the terms: 42 = -2(-6 + m) + -1(m + -6) 42 = (-6 * -2 + m * -2) + -1(m + -6) 42 = (12 + -2m) + -1(m + -6) Reorder the terms: 42 = 12 + -2m + -1(-6 + m) 42 = 12 + -2m + (-6 * -1 + m * -1) 42 = 12 + -2m + (6 + -1m) Reorder the terms: 42 = 12 + 6 + -2m + -1m Combine like terms: 12 + 6 = 18 42 = 18 + -2m + -1m Combine like terms: -2m + -1m = -3m 42 = 18 + -3m Solving 42 = 18 + -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 = 18 + -3m + 3m Combine like terms: -3m + 3m = 0 42 + 3m = 18 + 0 42 + 3m = 18 Add '-42' to each side of the equation. 42 + -42 + 3m = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 3m = 18 + -42 3m = 18 + -42 Combine like terms: 18 + -42 = -24 3m = -24 Divide each side by '3'. m = -8 Simplifying m = -8
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