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Simplifying -9m + 47 + -6(m + -3) = 5m + -1(7m + -9) + -4m + 2 Reorder the terms: -9m + 47 + -6(-3 + m) = 5m + -1(7m + -9) + -4m + 2 -9m + 47 + (-3 * -6 + m * -6) = 5m + -1(7m + -9) + -4m + 2 -9m + 47 + (18 + -6m) = 5m + -1(7m + -9) + -4m + 2 Reorder the terms: 47 + 18 + -9m + -6m = 5m + -1(7m + -9) + -4m + 2 Combine like terms: 47 + 18 = 65 65 + -9m + -6m = 5m + -1(7m + -9) + -4m + 2 Combine like terms: -9m + -6m = -15m 65 + -15m = 5m + -1(7m + -9) + -4m + 2 Reorder the terms: 65 + -15m = 5m + -1(-9 + 7m) + -4m + 2 65 + -15m = 5m + (-9 * -1 + 7m * -1) + -4m + 2 65 + -15m = 5m + (9 + -7m) + -4m + 2 Reorder the terms: 65 + -15m = 9 + 2 + 5m + -7m + -4m Combine like terms: 9 + 2 = 11 65 + -15m = 11 + 5m + -7m + -4m Combine like terms: 5m + -7m = -2m 65 + -15m = 11 + -2m + -4m Combine like terms: -2m + -4m = -6m 65 + -15m = 11 + -6m Solving 65 + -15m = 11 + -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. 65 + -15m + 6m = 11 + -6m + 6m Combine like terms: -15m + 6m = -9m 65 + -9m = 11 + -6m + 6m Combine like terms: -6m + 6m = 0 65 + -9m = 11 + 0 65 + -9m = 11 Add '-65' to each side of the equation. 65 + -65 + -9m = 11 + -65 Combine like terms: 65 + -65 = 0 0 + -9m = 11 + -65 -9m = 11 + -65 Combine like terms: 11 + -65 = -54 -9m = -54 Divide each side by '-9'. m = 6 Simplifying m = 6
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