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Simplifying 3m + -2(m + 3) = -1(2m + 15) Reorder the terms: 3m + -2(3 + m) = -1(2m + 15) 3m + (3 * -2 + m * -2) = -1(2m + 15) 3m + (-6 + -2m) = -1(2m + 15) Reorder the terms: -6 + 3m + -2m = -1(2m + 15) Combine like terms: 3m + -2m = 1m -6 + 1m = -1(2m + 15) Reorder the terms: -6 + 1m = -1(15 + 2m) -6 + 1m = (15 * -1 + 2m * -1) -6 + 1m = (-15 + -2m) Solving -6 + 1m = -15 + -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. -6 + 1m + 2m = -15 + -2m + 2m Combine like terms: 1m + 2m = 3m -6 + 3m = -15 + -2m + 2m Combine like terms: -2m + 2m = 0 -6 + 3m = -15 + 0 -6 + 3m = -15 Add '6' to each side of the equation. -6 + 6 + 3m = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = -15 + 6 3m = -15 + 6 Combine like terms: -15 + 6 = -9 3m = -9 Divide each side by '3'. m = -3 Simplifying m = -3
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