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Simplifying 42 = -3(m + 6) + 1m Reorder the terms: 42 = -3(6 + m) + 1m 42 = (6 * -3 + m * -3) + 1m 42 = (-18 + -3m) + 1m Combine like terms: -3m + 1m = -2m 42 = -18 + -2m Solving 42 = -18 + -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. 42 + 2m = -18 + -2m + 2m Combine like terms: -2m + 2m = 0 42 + 2m = -18 + 0 42 + 2m = -18 Add '-42' to each side of the equation. 42 + -42 + 2m = -18 + -42 Combine like terms: 42 + -42 = 0 0 + 2m = -18 + -42 2m = -18 + -42 Combine like terms: -18 + -42 = -60 2m = -60 Divide each side by '2'. m = -30 Simplifying m = -30
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