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Simplifying 5(8 + -2m) = -2(1 + 2m) (8 * 5 + -2m * 5) = -2(1 + 2m) (40 + -10m) = -2(1 + 2m) 40 + -10m = (1 * -2 + 2m * -2) 40 + -10m = (-2 + -4m) Solving 40 + -10m = -2 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 40 + -10m + 4m = -2 + -4m + 4m Combine like terms: -10m + 4m = -6m 40 + -6m = -2 + -4m + 4m Combine like terms: -4m + 4m = 0 40 + -6m = -2 + 0 40 + -6m = -2 Add '-40' to each side of the equation. 40 + -40 + -6m = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -6m = -2 + -40 -6m = -2 + -40 Combine like terms: -2 + -40 = -42 -6m = -42 Divide each side by '-6'. m = 7 Simplifying m = 7
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