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Simplifying -1(-3m + 10) + -1(2m + -14) = 2(m + 3) Reorder the terms: -1(10 + -3m) + -1(2m + -14) = 2(m + 3) (10 * -1 + -3m * -1) + -1(2m + -14) = 2(m + 3) (-10 + 3m) + -1(2m + -14) = 2(m + 3) Reorder the terms: -10 + 3m + -1(-14 + 2m) = 2(m + 3) -10 + 3m + (-14 * -1 + 2m * -1) = 2(m + 3) -10 + 3m + (14 + -2m) = 2(m + 3) Reorder the terms: -10 + 14 + 3m + -2m = 2(m + 3) Combine like terms: -10 + 14 = 4 4 + 3m + -2m = 2(m + 3) Combine like terms: 3m + -2m = 1m 4 + 1m = 2(m + 3) Reorder the terms: 4 + 1m = 2(3 + m) 4 + 1m = (3 * 2 + m * 2) 4 + 1m = (6 + 2m) Solving 4 + 1m = 6 + 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. 4 + 1m + -2m = 6 + 2m + -2m Combine like terms: 1m + -2m = -1m 4 + -1m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 4 + -1m = 6 + 0 4 + -1m = 6 Add '-4' to each side of the equation. 4 + -4 + -1m = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 6 + -4 -1m = 6 + -4 Combine like terms: 6 + -4 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2
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