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Simplifying -2(8n + -1) + -7 = 5(1 + -4n) + -6n Reorder the terms: -2(-1 + 8n) + -7 = 5(1 + -4n) + -6n (-1 * -2 + 8n * -2) + -7 = 5(1 + -4n) + -6n (2 + -16n) + -7 = 5(1 + -4n) + -6n Reorder the terms: 2 + -7 + -16n = 5(1 + -4n) + -6n Combine like terms: 2 + -7 = -5 -5 + -16n = 5(1 + -4n) + -6n -5 + -16n = (1 * 5 + -4n * 5) + -6n -5 + -16n = (5 + -20n) + -6n Combine like terms: -20n + -6n = -26n -5 + -16n = 5 + -26n Solving -5 + -16n = 5 + -26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26n' to each side of the equation. -5 + -16n + 26n = 5 + -26n + 26n Combine like terms: -16n + 26n = 10n -5 + 10n = 5 + -26n + 26n Combine like terms: -26n + 26n = 0 -5 + 10n = 5 + 0 -5 + 10n = 5 Add '5' to each side of the equation. -5 + 5 + 10n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 10n = 5 + 5 10n = 5 + 5 Combine like terms: 5 + 5 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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