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Simplifying -2(m + 1) + 3(2m + -2) = 3(m + -3) + 7 Reorder the terms: -2(1 + m) + 3(2m + -2) = 3(m + -3) + 7 (1 * -2 + m * -2) + 3(2m + -2) = 3(m + -3) + 7 (-2 + -2m) + 3(2m + -2) = 3(m + -3) + 7 Reorder the terms: -2 + -2m + 3(-2 + 2m) = 3(m + -3) + 7 -2 + -2m + (-2 * 3 + 2m * 3) = 3(m + -3) + 7 -2 + -2m + (-6 + 6m) = 3(m + -3) + 7 Reorder the terms: -2 + -6 + -2m + 6m = 3(m + -3) + 7 Combine like terms: -2 + -6 = -8 -8 + -2m + 6m = 3(m + -3) + 7 Combine like terms: -2m + 6m = 4m -8 + 4m = 3(m + -3) + 7 Reorder the terms: -8 + 4m = 3(-3 + m) + 7 -8 + 4m = (-3 * 3 + m * 3) + 7 -8 + 4m = (-9 + 3m) + 7 Reorder the terms: -8 + 4m = -9 + 7 + 3m Combine like terms: -9 + 7 = -2 -8 + 4m = -2 + 3m Solving -8 + 4m = -2 + 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. -8 + 4m + -3m = -2 + 3m + -3m Combine like terms: 4m + -3m = 1m -8 + 1m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 -8 + 1m = -2 + 0 -8 + 1m = -2 Add '8' to each side of the equation. -8 + 8 + 1m = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1m = -2 + 8 1m = -2 + 8 Combine like terms: -2 + 8 = 6 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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