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Simplifying -2m + -15 + -4(m + -3) = 3m + -1(8m + -8) + -5m + 5 Reorder the terms: -2m + -15 + -4(-3 + m) = 3m + -1(8m + -8) + -5m + 5 -2m + -15 + (-3 * -4 + m * -4) = 3m + -1(8m + -8) + -5m + 5 -2m + -15 + (12 + -4m) = 3m + -1(8m + -8) + -5m + 5 Reorder the terms: -15 + 12 + -2m + -4m = 3m + -1(8m + -8) + -5m + 5 Combine like terms: -15 + 12 = -3 -3 + -2m + -4m = 3m + -1(8m + -8) + -5m + 5 Combine like terms: -2m + -4m = -6m -3 + -6m = 3m + -1(8m + -8) + -5m + 5 Reorder the terms: -3 + -6m = 3m + -1(-8 + 8m) + -5m + 5 -3 + -6m = 3m + (-8 * -1 + 8m * -1) + -5m + 5 -3 + -6m = 3m + (8 + -8m) + -5m + 5 Reorder the terms: -3 + -6m = 8 + 5 + 3m + -8m + -5m Combine like terms: 8 + 5 = 13 -3 + -6m = 13 + 3m + -8m + -5m Combine like terms: 3m + -8m = -5m -3 + -6m = 13 + -5m + -5m Combine like terms: -5m + -5m = -10m -3 + -6m = 13 + -10m Solving -3 + -6m = 13 + -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. -3 + -6m + 10m = 13 + -10m + 10m Combine like terms: -6m + 10m = 4m -3 + 4m = 13 + -10m + 10m Combine like terms: -10m + 10m = 0 -3 + 4m = 13 + 0 -3 + 4m = 13 Add '3' to each side of the equation. -3 + 3 + 4m = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4m = 13 + 3 4m = 13 + 3 Combine like terms: 13 + 3 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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