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Simplifying -4m + -24 + -6(m + -3) = 2m + -1(7m + -2) + -9m + 8 Reorder the terms: -4m + -24 + -6(-3 + m) = 2m + -1(7m + -2) + -9m + 8 -4m + -24 + (-3 * -6 + m * -6) = 2m + -1(7m + -2) + -9m + 8 -4m + -24 + (18 + -6m) = 2m + -1(7m + -2) + -9m + 8 Reorder the terms: -24 + 18 + -4m + -6m = 2m + -1(7m + -2) + -9m + 8 Combine like terms: -24 + 18 = -6 -6 + -4m + -6m = 2m + -1(7m + -2) + -9m + 8 Combine like terms: -4m + -6m = -10m -6 + -10m = 2m + -1(7m + -2) + -9m + 8 Reorder the terms: -6 + -10m = 2m + -1(-2 + 7m) + -9m + 8 -6 + -10m = 2m + (-2 * -1 + 7m * -1) + -9m + 8 -6 + -10m = 2m + (2 + -7m) + -9m + 8 Reorder the terms: -6 + -10m = 2 + 8 + 2m + -7m + -9m Combine like terms: 2 + 8 = 10 -6 + -10m = 10 + 2m + -7m + -9m Combine like terms: 2m + -7m = -5m -6 + -10m = 10 + -5m + -9m Combine like terms: -5m + -9m = -14m -6 + -10m = 10 + -14m Solving -6 + -10m = 10 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. -6 + -10m + 14m = 10 + -14m + 14m Combine like terms: -10m + 14m = 4m -6 + 4m = 10 + -14m + 14m Combine like terms: -14m + 14m = 0 -6 + 4m = 10 + 0 -6 + 4m = 10 Add '6' to each side of the equation. -6 + 6 + 4m = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4m = 10 + 6 4m = 10 + 6 Combine like terms: 10 + 6 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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