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Simplifying 8 + -1(1 + -2m) = 8 + 2(4m + -3) 8 + (1 * -1 + -2m * -1) = 8 + 2(4m + -3) 8 + (-1 + 2m) = 8 + 2(4m + -3) Combine like terms: 8 + -1 = 7 7 + 2m = 8 + 2(4m + -3) Reorder the terms: 7 + 2m = 8 + 2(-3 + 4m) 7 + 2m = 8 + (-3 * 2 + 4m * 2) 7 + 2m = 8 + (-6 + 8m) Combine like terms: 8 + -6 = 2 7 + 2m = 2 + 8m Solving 7 + 2m = 2 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 7 + 2m + -8m = 2 + 8m + -8m Combine like terms: 2m + -8m = -6m 7 + -6m = 2 + 8m + -8m Combine like terms: 8m + -8m = 0 7 + -6m = 2 + 0 7 + -6m = 2 Add '-7' to each side of the equation. 7 + -7 + -6m = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 2 + -7 -6m = 2 + -7 Combine like terms: 2 + -7 = -5 -6m = -5 Divide each side by '-6'. m = 0.8333333333 Simplifying m = 0.8333333333
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