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Simplifying -2m + -38 + -2(m + -6) = 5m + -1(6m + -1) + -8m + 8 Reorder the terms: -2m + -38 + -2(-6 + m) = 5m + -1(6m + -1) + -8m + 8 -2m + -38 + (-6 * -2 + m * -2) = 5m + -1(6m + -1) + -8m + 8 -2m + -38 + (12 + -2m) = 5m + -1(6m + -1) + -8m + 8 Reorder the terms: -38 + 12 + -2m + -2m = 5m + -1(6m + -1) + -8m + 8 Combine like terms: -38 + 12 = -26 -26 + -2m + -2m = 5m + -1(6m + -1) + -8m + 8 Combine like terms: -2m + -2m = -4m -26 + -4m = 5m + -1(6m + -1) + -8m + 8 Reorder the terms: -26 + -4m = 5m + -1(-1 + 6m) + -8m + 8 -26 + -4m = 5m + (-1 * -1 + 6m * -1) + -8m + 8 -26 + -4m = 5m + (1 + -6m) + -8m + 8 Reorder the terms: -26 + -4m = 1 + 8 + 5m + -6m + -8m Combine like terms: 1 + 8 = 9 -26 + -4m = 9 + 5m + -6m + -8m Combine like terms: 5m + -6m = -1m -26 + -4m = 9 + -1m + -8m Combine like terms: -1m + -8m = -9m -26 + -4m = 9 + -9m Solving -26 + -4m = 9 + -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. -26 + -4m + 9m = 9 + -9m + 9m Combine like terms: -4m + 9m = 5m -26 + 5m = 9 + -9m + 9m Combine like terms: -9m + 9m = 0 -26 + 5m = 9 + 0 -26 + 5m = 9 Add '26' to each side of the equation. -26 + 26 + 5m = 9 + 26 Combine like terms: -26 + 26 = 0 0 + 5m = 9 + 26 5m = 9 + 26 Combine like terms: 9 + 26 = 35 5m = 35 Divide each side by '5'. m = 7 Simplifying m = 7
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