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Simplifying -3m + -6 + -2(m + -2) = 2m + -1(4m + -9) + -7m + 1 Reorder the terms: -3m + -6 + -2(-2 + m) = 2m + -1(4m + -9) + -7m + 1 -3m + -6 + (-2 * -2 + m * -2) = 2m + -1(4m + -9) + -7m + 1 -3m + -6 + (4 + -2m) = 2m + -1(4m + -9) + -7m + 1 Reorder the terms: -6 + 4 + -3m + -2m = 2m + -1(4m + -9) + -7m + 1 Combine like terms: -6 + 4 = -2 -2 + -3m + -2m = 2m + -1(4m + -9) + -7m + 1 Combine like terms: -3m + -2m = -5m -2 + -5m = 2m + -1(4m + -9) + -7m + 1 Reorder the terms: -2 + -5m = 2m + -1(-9 + 4m) + -7m + 1 -2 + -5m = 2m + (-9 * -1 + 4m * -1) + -7m + 1 -2 + -5m = 2m + (9 + -4m) + -7m + 1 Reorder the terms: -2 + -5m = 9 + 1 + 2m + -4m + -7m Combine like terms: 9 + 1 = 10 -2 + -5m = 10 + 2m + -4m + -7m Combine like terms: 2m + -4m = -2m -2 + -5m = 10 + -2m + -7m Combine like terms: -2m + -7m = -9m -2 + -5m = 10 + -9m Solving -2 + -5m = 10 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -2 + -5m + 9m = 10 + -9m + 9m Combine like terms: -5m + 9m = 4m -2 + 4m = 10 + -9m + 9m Combine like terms: -9m + 9m = 0 -2 + 4m = 10 + 0 -2 + 4m = 10 Add '2' to each side of the equation. -2 + 2 + 4m = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4m = 10 + 2 4m = 10 + 2 Combine like terms: 10 + 2 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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