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Simplifying -2m + -33 = 3(1 + -8m) + 4m Reorder the terms: -33 + -2m = 3(1 + -8m) + 4m -33 + -2m = (1 * 3 + -8m * 3) + 4m -33 + -2m = (3 + -24m) + 4m Combine like terms: -24m + 4m = -20m -33 + -2m = 3 + -20m Solving -33 + -2m = 3 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. -33 + -2m + 20m = 3 + -20m + 20m Combine like terms: -2m + 20m = 18m -33 + 18m = 3 + -20m + 20m Combine like terms: -20m + 20m = 0 -33 + 18m = 3 + 0 -33 + 18m = 3 Add '33' to each side of the equation. -33 + 33 + 18m = 3 + 33 Combine like terms: -33 + 33 = 0 0 + 18m = 3 + 33 18m = 3 + 33 Combine like terms: 3 + 33 = 36 18m = 36 Divide each side by '18'. m = 2 Simplifying m = 2
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