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Simplifying 4m + 5 + -3(2m + -5) = 9 + -1(8m + -1) + m Reorder the terms: 4m + 5 + -3(-5 + 2m) = 9 + -1(8m + -1) + m 4m + 5 + (-5 * -3 + 2m * -3) = 9 + -1(8m + -1) + m 4m + 5 + (15 + -6m) = 9 + -1(8m + -1) + m Reorder the terms: 5 + 15 + 4m + -6m = 9 + -1(8m + -1) + m Combine like terms: 5 + 15 = 20 20 + 4m + -6m = 9 + -1(8m + -1) + m Combine like terms: 4m + -6m = -2m 20 + -2m = 9 + -1(8m + -1) + m Reorder the terms: 20 + -2m = 9 + -1(-1 + 8m) + m 20 + -2m = 9 + (-1 * -1 + 8m * -1) + m 20 + -2m = 9 + (1 + -8m) + m Combine like terms: 9 + 1 = 10 20 + -2m = 10 + -8m + m Combine like terms: -8m + m = -7m 20 + -2m = 10 + -7m Solving 20 + -2m = 10 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 20 + -2m + 7m = 10 + -7m + 7m Combine like terms: -2m + 7m = 5m 20 + 5m = 10 + -7m + 7m Combine like terms: -7m + 7m = 0 20 + 5m = 10 + 0 20 + 5m = 10 Add '-20' to each side of the equation. 20 + -20 + 5m = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 5m = 10 + -20 5m = 10 + -20 Combine like terms: 10 + -20 = -10 5m = -10 Divide each side by '5'. m = -2 Simplifying m = -2
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