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Simplifying -3m + -15 + -2(m + -2) = 6m + -1(8m + -8) + -7m + 5 Reorder the terms: -3m + -15 + -2(-2 + m) = 6m + -1(8m + -8) + -7m + 5 -3m + -15 + (-2 * -2 + m * -2) = 6m + -1(8m + -8) + -7m + 5 -3m + -15 + (4 + -2m) = 6m + -1(8m + -8) + -7m + 5 Reorder the terms: -15 + 4 + -3m + -2m = 6m + -1(8m + -8) + -7m + 5 Combine like terms: -15 + 4 = -11 -11 + -3m + -2m = 6m + -1(8m + -8) + -7m + 5 Combine like terms: -3m + -2m = -5m -11 + -5m = 6m + -1(8m + -8) + -7m + 5 Reorder the terms: -11 + -5m = 6m + -1(-8 + 8m) + -7m + 5 -11 + -5m = 6m + (-8 * -1 + 8m * -1) + -7m + 5 -11 + -5m = 6m + (8 + -8m) + -7m + 5 Reorder the terms: -11 + -5m = 8 + 5 + 6m + -8m + -7m Combine like terms: 8 + 5 = 13 -11 + -5m = 13 + 6m + -8m + -7m Combine like terms: 6m + -8m = -2m -11 + -5m = 13 + -2m + -7m Combine like terms: -2m + -7m = -9m -11 + -5m = 13 + -9m Solving -11 + -5m = 13 + -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. -11 + -5m + 9m = 13 + -9m + 9m Combine like terms: -5m + 9m = 4m -11 + 4m = 13 + -9m + 9m Combine like terms: -9m + 9m = 0 -11 + 4m = 13 + 0 -11 + 4m = 13 Add '11' to each side of the equation. -11 + 11 + 4m = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 4m = 13 + 11 4m = 13 + 11 Combine like terms: 13 + 11 = 24 4m = 24 Divide each side by '4'. m = 6 Simplifying m = 6
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