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Simplifying 81 = 2(1 + -5m) + -1 81 = (1 * 2 + -5m * 2) + -1 81 = (2 + -10m) + -1 Reorder the terms: 81 = 2 + -1 + -10m Combine like terms: 2 + -1 = 1 81 = 1 + -10m Solving 81 = 1 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 81 + 10m = 1 + -10m + 10m Combine like terms: -10m + 10m = 0 81 + 10m = 1 + 0 81 + 10m = 1 Add '-81' to each side of the equation. 81 + -81 + 10m = 1 + -81 Combine like terms: 81 + -81 = 0 0 + 10m = 1 + -81 10m = 1 + -81 Combine like terms: 1 + -81 = -80 10m = -80 Divide each side by '10'. m = -8 Simplifying m = -8
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