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Simplifying -2m + -28 + -2(m + -1) = 3m + -1(5m + -3) + -8m + 1 Reorder the terms: -2m + -28 + -2(-1 + m) = 3m + -1(5m + -3) + -8m + 1 -2m + -28 + (-1 * -2 + m * -2) = 3m + -1(5m + -3) + -8m + 1 -2m + -28 + (2 + -2m) = 3m + -1(5m + -3) + -8m + 1 Reorder the terms: -28 + 2 + -2m + -2m = 3m + -1(5m + -3) + -8m + 1 Combine like terms: -28 + 2 = -26 -26 + -2m + -2m = 3m + -1(5m + -3) + -8m + 1 Combine like terms: -2m + -2m = -4m -26 + -4m = 3m + -1(5m + -3) + -8m + 1 Reorder the terms: -26 + -4m = 3m + -1(-3 + 5m) + -8m + 1 -26 + -4m = 3m + (-3 * -1 + 5m * -1) + -8m + 1 -26 + -4m = 3m + (3 + -5m) + -8m + 1 Reorder the terms: -26 + -4m = 3 + 1 + 3m + -5m + -8m Combine like terms: 3 + 1 = 4 -26 + -4m = 4 + 3m + -5m + -8m Combine like terms: 3m + -5m = -2m -26 + -4m = 4 + -2m + -8m Combine like terms: -2m + -8m = -10m -26 + -4m = 4 + -10m Solving -26 + -4m = 4 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -26 + -4m + 10m = 4 + -10m + 10m Combine like terms: -4m + 10m = 6m -26 + 6m = 4 + -10m + 10m Combine like terms: -10m + 10m = 0 -26 + 6m = 4 + 0 -26 + 6m = 4 Add '26' to each side of the equation. -26 + 26 + 6m = 4 + 26 Combine like terms: -26 + 26 = 0 0 + 6m = 4 + 26 6m = 4 + 26 Combine like terms: 4 + 26 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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