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Simplifying 2(5n + 17) = -5(2n + -17) Reorder the terms: 2(17 + 5n) = -5(2n + -17) (17 * 2 + 5n * 2) = -5(2n + -17) (34 + 10n) = -5(2n + -17) Reorder the terms: 34 + 10n = -5(-17 + 2n) 34 + 10n = (-17 * -5 + 2n * -5) 34 + 10n = (85 + -10n) Solving 34 + 10n = 85 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 34 + 10n + 10n = 85 + -10n + 10n Combine like terms: 10n + 10n = 20n 34 + 20n = 85 + -10n + 10n Combine like terms: -10n + 10n = 0 34 + 20n = 85 + 0 34 + 20n = 85 Add '-34' to each side of the equation. 34 + -34 + 20n = 85 + -34 Combine like terms: 34 + -34 = 0 0 + 20n = 85 + -34 20n = 85 + -34 Combine like terms: 85 + -34 = 51 20n = 51 Divide each side by '20'. n = 2.55 Simplifying n = 2.55
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