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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 = -38 14 + 16n = -38 + -10n Solving 14 + 16n = -38 + -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 = -38 + -10n + 10n Combine like terms: 16n + 10n = 26n 14 + 26n = -38 + -10n + 10n Combine like terms: -10n + 10n = 0 14 + 26n = -38 + 0 14 + 26n = -38 Add '-14' to each side of the equation. 14 + -14 + 26n = -38 + -14 Combine like terms: 14 + -14 = 0 0 + 26n = -38 + -14 26n = -38 + -14 Combine like terms: -38 + -14 = -52 26n = -52 Divide each side by '26'. n = -2 Simplifying n = -2
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