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Simplifying 7m + 20 + -5(m + -1) = 6m + -1(8m + -5) + -2m + 4 Reorder the terms: 7m + 20 + -5(-1 + m) = 6m + -1(8m + -5) + -2m + 4 7m + 20 + (-1 * -5 + m * -5) = 6m + -1(8m + -5) + -2m + 4 7m + 20 + (5 + -5m) = 6m + -1(8m + -5) + -2m + 4 Reorder the terms: 20 + 5 + 7m + -5m = 6m + -1(8m + -5) + -2m + 4 Combine like terms: 20 + 5 = 25 25 + 7m + -5m = 6m + -1(8m + -5) + -2m + 4 Combine like terms: 7m + -5m = 2m 25 + 2m = 6m + -1(8m + -5) + -2m + 4 Reorder the terms: 25 + 2m = 6m + -1(-5 + 8m) + -2m + 4 25 + 2m = 6m + (-5 * -1 + 8m * -1) + -2m + 4 25 + 2m = 6m + (5 + -8m) + -2m + 4 Reorder the terms: 25 + 2m = 5 + 4 + 6m + -8m + -2m Combine like terms: 5 + 4 = 9 25 + 2m = 9 + 6m + -8m + -2m Combine like terms: 6m + -8m = -2m 25 + 2m = 9 + -2m + -2m Combine like terms: -2m + -2m = -4m 25 + 2m = 9 + -4m Solving 25 + 2m = 9 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 25 + 2m + 4m = 9 + -4m + 4m Combine like terms: 2m + 4m = 6m 25 + 6m = 9 + -4m + 4m Combine like terms: -4m + 4m = 0 25 + 6m = 9 + 0 25 + 6m = 9 Add '-25' to each side of the equation. 25 + -25 + 6m = 9 + -25 Combine like terms: 25 + -25 = 0 0 + 6m = 9 + -25 6m = 9 + -25 Combine like terms: 9 + -25 = -16 6m = -16 Divide each side by '6'. m = -2.666666667 Simplifying m = -2.666666667
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