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Simplifying 2(1 + 8m) + -1(1 + -4m) = 0 (1 * 2 + 8m * 2) + -1(1 + -4m) = 0 (2 + 16m) + -1(1 + -4m) = 0 2 + 16m + (1 * -1 + -4m * -1) = 0 2 + 16m + (-1 + 4m) = 0 Reorder the terms: 2 + -1 + 16m + 4m = 0 Combine like terms: 2 + -1 = 1 1 + 16m + 4m = 0 Combine like terms: 16m + 4m = 20m 1 + 20m = 0 Solving 1 + 20m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 20m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 20m = 0 + -1 20m = 0 + -1 Combine like terms: 0 + -1 = -1 20m = -1 Divide each side by '20'. m = -0.05 Simplifying m = -0.05
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