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Simplifying 2(1 + -4m) + -2(5 + 7m) = 80 (1 * 2 + -4m * 2) + -2(5 + 7m) = 80 (2 + -8m) + -2(5 + 7m) = 80 2 + -8m + (5 * -2 + 7m * -2) = 80 2 + -8m + (-10 + -14m) = 80 Reorder the terms: 2 + -10 + -8m + -14m = 80 Combine like terms: 2 + -10 = -8 -8 + -8m + -14m = 80 Combine like terms: -8m + -14m = -22m -8 + -22m = 80 Solving -8 + -22m = 80 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -22m = 80 + 8 Combine like terms: -8 + 8 = 0 0 + -22m = 80 + 8 -22m = 80 + 8 Combine like terms: 80 + 8 = 88 -22m = 88 Divide each side by '-22'. m = -4 Simplifying m = -4
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