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Simplifying -2 + -5(2 + -4m) = 33 + 5m -2 + (2 * -5 + -4m * -5) = 33 + 5m -2 + (-10 + 20m) = 33 + 5m Combine like terms: -2 + -10 = -12 -12 + 20m = 33 + 5m Solving -12 + 20m = 33 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 20m + -5m = 33 + 5m + -5m Combine like terms: 20m + -5m = 15m -12 + 15m = 33 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + 15m = 33 + 0 -12 + 15m = 33 Add '12' to each side of the equation. -12 + 12 + 15m = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 15m = 33 + 12 15m = 33 + 12 Combine like terms: 33 + 12 = 45 15m = 45 Divide each side by '15'. m = 3 Simplifying m = 3
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