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Simplifying -7m + -12 + -2(m + -2) = 4m + -1(9m + -1) + -8m + 7 Reorder the terms: -7m + -12 + -2(-2 + m) = 4m + -1(9m + -1) + -8m + 7 -7m + -12 + (-2 * -2 + m * -2) = 4m + -1(9m + -1) + -8m + 7 -7m + -12 + (4 + -2m) = 4m + -1(9m + -1) + -8m + 7 Reorder the terms: -12 + 4 + -7m + -2m = 4m + -1(9m + -1) + -8m + 7 Combine like terms: -12 + 4 = -8 -8 + -7m + -2m = 4m + -1(9m + -1) + -8m + 7 Combine like terms: -7m + -2m = -9m -8 + -9m = 4m + -1(9m + -1) + -8m + 7 Reorder the terms: -8 + -9m = 4m + -1(-1 + 9m) + -8m + 7 -8 + -9m = 4m + (-1 * -1 + 9m * -1) + -8m + 7 -8 + -9m = 4m + (1 + -9m) + -8m + 7 Reorder the terms: -8 + -9m = 1 + 7 + 4m + -9m + -8m Combine like terms: 1 + 7 = 8 -8 + -9m = 8 + 4m + -9m + -8m Combine like terms: 4m + -9m = -5m -8 + -9m = 8 + -5m + -8m Combine like terms: -5m + -8m = -13m -8 + -9m = 8 + -13m Solving -8 + -9m = 8 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -8 + -9m + 13m = 8 + -13m + 13m Combine like terms: -9m + 13m = 4m -8 + 4m = 8 + -13m + 13m Combine like terms: -13m + 13m = 0 -8 + 4m = 8 + 0 -8 + 4m = 8 Add '8' to each side of the equation. -8 + 8 + 4m = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4m = 8 + 8 4m = 8 + 8 Combine like terms: 8 + 8 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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