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Simplifying 2(1 + -7n) = -4(5n + -2) (1 * 2 + -7n * 2) = -4(5n + -2) (2 + -14n) = -4(5n + -2) Reorder the terms: 2 + -14n = -4(-2 + 5n) 2 + -14n = (-2 * -4 + 5n * -4) 2 + -14n = (8 + -20n) Solving 2 + -14n = 8 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 2 + -14n + 20n = 8 + -20n + 20n Combine like terms: -14n + 20n = 6n 2 + 6n = 8 + -20n + 20n Combine like terms: -20n + 20n = 0 2 + 6n = 8 + 0 2 + 6n = 8 Add '-2' to each side of the equation. 2 + -2 + 6n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 8 + -2 6n = 8 + -2 Combine like terms: 8 + -2 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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