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Simplifying 2(8n + 7) = 50 + 2(-5n + 6) Reorder the terms: 2(7 + 8n) = 50 + 2(-5n + 6) (7 * 2 + 8n * 2) = 50 + 2(-5n + 6) (14 + 16n) = 50 + 2(-5n + 6) Reorder the terms: 14 + 16n = 50 + 2(6 + -5n) 14 + 16n = 50 + (6 * 2 + -5n * 2) 14 + 16n = 50 + (12 + -10n) Combine like terms: 50 + 12 = 62 14 + 16n = 62 + -10n Solving 14 + 16n = 62 + -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. 14 + 16n + 10n = 62 + -10n + 10n Combine like terms: 16n + 10n = 26n 14 + 26n = 62 + -10n + 10n Combine like terms: -10n + 10n = 0 14 + 26n = 62 + 0 14 + 26n = 62 Add '-14' to each side of the equation. 14 + -14 + 26n = 62 + -14 Combine like terms: 14 + -14 = 0 0 + 26n = 62 + -14 26n = 62 + -14 Combine like terms: 62 + -14 = 48 26n = 48 Divide each side by '26'. n = 1.846153846 Simplifying n = 1.846153846
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