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Simplifying 20 + 1m = 3m + 8m + -40 Reorder the terms: 20 + 1m = -40 + 3m + 8m Combine like terms: 3m + 8m = 11m 20 + 1m = -40 + 11m Solving 20 + 1m = -40 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 20 + 1m + -11m = -40 + 11m + -11m Combine like terms: 1m + -11m = -10m 20 + -10m = -40 + 11m + -11m Combine like terms: 11m + -11m = 0 20 + -10m = -40 + 0 20 + -10m = -40 Add '-20' to each side of the equation. 20 + -20 + -10m = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -10m = -40 + -20 -10m = -40 + -20 Combine like terms: -40 + -20 = -60 -10m = -60 Divide each side by '-10'. m = 6 Simplifying m = 6
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