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Simplifying -4m + 30 + -7(m + -4) = 8m + -1(3m + -4) + -9m + 5 Reorder the terms: -4m + 30 + -7(-4 + m) = 8m + -1(3m + -4) + -9m + 5 -4m + 30 + (-4 * -7 + m * -7) = 8m + -1(3m + -4) + -9m + 5 -4m + 30 + (28 + -7m) = 8m + -1(3m + -4) + -9m + 5 Reorder the terms: 30 + 28 + -4m + -7m = 8m + -1(3m + -4) + -9m + 5 Combine like terms: 30 + 28 = 58 58 + -4m + -7m = 8m + -1(3m + -4) + -9m + 5 Combine like terms: -4m + -7m = -11m 58 + -11m = 8m + -1(3m + -4) + -9m + 5 Reorder the terms: 58 + -11m = 8m + -1(-4 + 3m) + -9m + 5 58 + -11m = 8m + (-4 * -1 + 3m * -1) + -9m + 5 58 + -11m = 8m + (4 + -3m) + -9m + 5 Reorder the terms: 58 + -11m = 4 + 5 + 8m + -3m + -9m Combine like terms: 4 + 5 = 9 58 + -11m = 9 + 8m + -3m + -9m Combine like terms: 8m + -3m = 5m 58 + -11m = 9 + 5m + -9m Combine like terms: 5m + -9m = -4m 58 + -11m = 9 + -4m Solving 58 + -11m = 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. 58 + -11m + 4m = 9 + -4m + 4m Combine like terms: -11m + 4m = -7m 58 + -7m = 9 + -4m + 4m Combine like terms: -4m + 4m = 0 58 + -7m = 9 + 0 58 + -7m = 9 Add '-58' to each side of the equation. 58 + -58 + -7m = 9 + -58 Combine like terms: 58 + -58 = 0 0 + -7m = 9 + -58 -7m = 9 + -58 Combine like terms: 9 + -58 = -49 -7m = -49 Divide each side by '-7'. m = 7 Simplifying m = 7
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