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Simplifying -3m + 33 + -4(m + -6) = 5 + -1(2m + -9) + -4m + 6 Reorder the terms: -3m + 33 + -4(-6 + m) = 5 + -1(2m + -9) + -4m + 6 -3m + 33 + (-6 * -4 + m * -4) = 5 + -1(2m + -9) + -4m + 6 -3m + 33 + (24 + -4m) = 5 + -1(2m + -9) + -4m + 6 Reorder the terms: 33 + 24 + -3m + -4m = 5 + -1(2m + -9) + -4m + 6 Combine like terms: 33 + 24 = 57 57 + -3m + -4m = 5 + -1(2m + -9) + -4m + 6 Combine like terms: -3m + -4m = -7m 57 + -7m = 5 + -1(2m + -9) + -4m + 6 Reorder the terms: 57 + -7m = 5 + -1(-9 + 2m) + -4m + 6 57 + -7m = 5 + (-9 * -1 + 2m * -1) + -4m + 6 57 + -7m = 5 + (9 + -2m) + -4m + 6 Reorder the terms: 57 + -7m = 5 + 9 + 6 + -2m + -4m Combine like terms: 5 + 9 = 14 57 + -7m = 14 + 6 + -2m + -4m Combine like terms: 14 + 6 = 20 57 + -7m = 20 + -2m + -4m Combine like terms: -2m + -4m = -6m 57 + -7m = 20 + -6m Solving 57 + -7m = 20 + -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. 57 + -7m + 6m = 20 + -6m + 6m Combine like terms: -7m + 6m = -1m 57 + -1m = 20 + -6m + 6m Combine like terms: -6m + 6m = 0 57 + -1m = 20 + 0 57 + -1m = 20 Add '-57' to each side of the equation. 57 + -57 + -1m = 20 + -57 Combine like terms: 57 + -57 = 0 0 + -1m = 20 + -57 -1m = 20 + -57 Combine like terms: 20 + -57 = -37 -1m = -37 Divide each side by '-1'. m = 37 Simplifying m = 37
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