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Simplifying 8n + 7(2 + 8n) = 14 + -2n 8n + (2 * 7 + 8n * 7) = 14 + -2n 8n + (14 + 56n) = 14 + -2n Reorder the terms: 14 + 8n + 56n = 14 + -2n Combine like terms: 8n + 56n = 64n 14 + 64n = 14 + -2n Add '-14' to each side of the equation. 14 + -14 + 64n = 14 + -14 + -2n Combine like terms: 14 + -14 = 0 0 + 64n = 14 + -14 + -2n 64n = 14 + -14 + -2n Combine like terms: 14 + -14 = 0 64n = 0 + -2n 64n = -2n Solving 64n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 64n + 2n = -2n + 2n Combine like terms: 64n + 2n = 66n 66n = -2n + 2n Combine like terms: -2n + 2n = 0 66n = 0 Divide each side by '66'. n = 0 Simplifying n = 0
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