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Simplifying 2(7 + 7n) + -8n = -7(5n + -2) (7 * 2 + 7n * 2) + -8n = -7(5n + -2) (14 + 14n) + -8n = -7(5n + -2) Combine like terms: 14n + -8n = 6n 14 + 6n = -7(5n + -2) Reorder the terms: 14 + 6n = -7(-2 + 5n) 14 + 6n = (-2 * -7 + 5n * -7) 14 + 6n = (14 + -35n) Add '-14' to each side of the equation. 14 + -14 + 6n = 14 + -14 + -35n Combine like terms: 14 + -14 = 0 0 + 6n = 14 + -14 + -35n 6n = 14 + -14 + -35n Combine like terms: 14 + -14 = 0 6n = 0 + -35n 6n = -35n Solving 6n = -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 6n + 35n = -35n + 35n Combine like terms: 6n + 35n = 41n 41n = -35n + 35n Combine like terms: -35n + 35n = 0 41n = 0 Divide each side by '41'. n = 0 Simplifying n = 0
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