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Simplifying -3m + 33 + -4(m + -6) = 5m + -1(2m + -9) + -4m + 6 Reorder the terms: -3m + 33 + -4(-6 + m) = 5m + -1(2m + -9) + -4m + 6 -3m + 33 + (-6 * -4 + m * -4) = 5m + -1(2m + -9) + -4m + 6 -3m + 33 + (24 + -4m) = 5m + -1(2m + -9) + -4m + 6 Reorder the terms: 33 + 24 + -3m + -4m = 5m + -1(2m + -9) + -4m + 6 Combine like terms: 33 + 24 = 57 57 + -3m + -4m = 5m + -1(2m + -9) + -4m + 6 Combine like terms: -3m + -4m = -7m 57 + -7m = 5m + -1(2m + -9) + -4m + 6 Reorder the terms: 57 + -7m = 5m + -1(-9 + 2m) + -4m + 6 57 + -7m = 5m + (-9 * -1 + 2m * -1) + -4m + 6 57 + -7m = 5m + (9 + -2m) + -4m + 6 Reorder the terms: 57 + -7m = 9 + 6 + 5m + -2m + -4m Combine like terms: 9 + 6 = 15 57 + -7m = 15 + 5m + -2m + -4m Combine like terms: 5m + -2m = 3m 57 + -7m = 15 + 3m + -4m Combine like terms: 3m + -4m = -1m 57 + -7m = 15 + -1m Solving 57 + -7m = 15 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 57 + -7m + m = 15 + -1m + m Combine like terms: -7m + m = -6m 57 + -6m = 15 + -1m + m Combine like terms: -1m + m = 0 57 + -6m = 15 + 0 57 + -6m = 15 Add '-57' to each side of the equation. 57 + -57 + -6m = 15 + -57 Combine like terms: 57 + -57 = 0 0 + -6m = 15 + -57 -6m = 15 + -57 Combine like terms: 15 + -57 = -42 -6m = -42 Divide each side by '-6'. m = 7 Simplifying m = 7
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