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Simplifying 11(6 + -10m) + -2 = -55 + 9m (6 * 11 + -10m * 11) + -2 = -55 + 9m (66 + -110m) + -2 = -55 + 9m Reorder the terms: 66 + -2 + -110m = -55 + 9m Combine like terms: 66 + -2 = 64 64 + -110m = -55 + 9m Solving 64 + -110m = -55 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 64 + -110m + -9m = -55 + 9m + -9m Combine like terms: -110m + -9m = -119m 64 + -119m = -55 + 9m + -9m Combine like terms: 9m + -9m = 0 64 + -119m = -55 + 0 64 + -119m = -55 Add '-64' to each side of the equation. 64 + -64 + -119m = -55 + -64 Combine like terms: 64 + -64 = 0 0 + -119m = -55 + -64 -119m = -55 + -64 Combine like terms: -55 + -64 = -119 -119m = -119 Divide each side by '-119'. m = 1 Simplifying m = 1
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