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Simplifying -4m + 9 + -4(m + -1) = 2m + -1(3m + -5) + -5m + 4 Reorder the terms: -4m + 9 + -4(-1 + m) = 2m + -1(3m + -5) + -5m + 4 -4m + 9 + (-1 * -4 + m * -4) = 2m + -1(3m + -5) + -5m + 4 -4m + 9 + (4 + -4m) = 2m + -1(3m + -5) + -5m + 4 Reorder the terms: 9 + 4 + -4m + -4m = 2m + -1(3m + -5) + -5m + 4 Combine like terms: 9 + 4 = 13 13 + -4m + -4m = 2m + -1(3m + -5) + -5m + 4 Combine like terms: -4m + -4m = -8m 13 + -8m = 2m + -1(3m + -5) + -5m + 4 Reorder the terms: 13 + -8m = 2m + -1(-5 + 3m) + -5m + 4 13 + -8m = 2m + (-5 * -1 + 3m * -1) + -5m + 4 13 + -8m = 2m + (5 + -3m) + -5m + 4 Reorder the terms: 13 + -8m = 5 + 4 + 2m + -3m + -5m Combine like terms: 5 + 4 = 9 13 + -8m = 9 + 2m + -3m + -5m Combine like terms: 2m + -3m = -1m 13 + -8m = 9 + -1m + -5m Combine like terms: -1m + -5m = -6m 13 + -8m = 9 + -6m Solving 13 + -8m = 9 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 13 + -8m + 6m = 9 + -6m + 6m Combine like terms: -8m + 6m = -2m 13 + -2m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 13 + -2m = 9 + 0 13 + -2m = 9 Add '-13' to each side of the equation. 13 + -13 + -2m = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -2m = 9 + -13 -2m = 9 + -13 Combine like terms: 9 + -13 = -4 -2m = -4 Divide each side by '-2'. m = 2 Simplifying m = 2
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