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Simplifying 5 + 2(1 + -2n) = -7(8n + -1) 5 + (1 * 2 + -2n * 2) = -7(8n + -1) 5 + (2 + -4n) = -7(8n + -1) Combine like terms: 5 + 2 = 7 7 + -4n = -7(8n + -1) Reorder the terms: 7 + -4n = -7(-1 + 8n) 7 + -4n = (-1 * -7 + 8n * -7) 7 + -4n = (7 + -56n) Add '-7' to each side of the equation. 7 + -7 + -4n = 7 + -7 + -56n Combine like terms: 7 + -7 = 0 0 + -4n = 7 + -7 + -56n -4n = 7 + -7 + -56n Combine like terms: 7 + -7 = 0 -4n = 0 + -56n -4n = -56n Solving -4n = -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -4n + 56n = -56n + 56n Combine like terms: -4n + 56n = 52n 52n = -56n + 56n Combine like terms: -56n + 56n = 0 52n = 0 Divide each side by '52'. n = 0 Simplifying n = 0
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