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Simplifying -7m + 24 + -2(m + -1) = 6m + -1(2m + -4) + -5m + 6 Reorder the terms: -7m + 24 + -2(-1 + m) = 6m + -1(2m + -4) + -5m + 6 -7m + 24 + (-1 * -2 + m * -2) = 6m + -1(2m + -4) + -5m + 6 -7m + 24 + (2 + -2m) = 6m + -1(2m + -4) + -5m + 6 Reorder the terms: 24 + 2 + -7m + -2m = 6m + -1(2m + -4) + -5m + 6 Combine like terms: 24 + 2 = 26 26 + -7m + -2m = 6m + -1(2m + -4) + -5m + 6 Combine like terms: -7m + -2m = -9m 26 + -9m = 6m + -1(2m + -4) + -5m + 6 Reorder the terms: 26 + -9m = 6m + -1(-4 + 2m) + -5m + 6 26 + -9m = 6m + (-4 * -1 + 2m * -1) + -5m + 6 26 + -9m = 6m + (4 + -2m) + -5m + 6 Reorder the terms: 26 + -9m = 4 + 6 + 6m + -2m + -5m Combine like terms: 4 + 6 = 10 26 + -9m = 10 + 6m + -2m + -5m Combine like terms: 6m + -2m = 4m 26 + -9m = 10 + 4m + -5m Combine like terms: 4m + -5m = -1m 26 + -9m = 10 + -1m Solving 26 + -9m = 10 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 26 + -9m + m = 10 + -1m + m Combine like terms: -9m + m = -8m 26 + -8m = 10 + -1m + m Combine like terms: -1m + m = 0 26 + -8m = 10 + 0 26 + -8m = 10 Add '-26' to each side of the equation. 26 + -26 + -8m = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -8m = 10 + -26 -8m = 10 + -26 Combine like terms: 10 + -26 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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