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Simplifying -4n + -5 + n = 7(7 + -7n) + 6(1 + 6n) Reorder the terms: -5 + -4n + n = 7(7 + -7n) + 6(1 + 6n) Combine like terms: -4n + n = -3n -5 + -3n = 7(7 + -7n) + 6(1 + 6n) -5 + -3n = (7 * 7 + -7n * 7) + 6(1 + 6n) -5 + -3n = (49 + -49n) + 6(1 + 6n) -5 + -3n = 49 + -49n + (1 * 6 + 6n * 6) -5 + -3n = 49 + -49n + (6 + 36n) Reorder the terms: -5 + -3n = 49 + 6 + -49n + 36n Combine like terms: 49 + 6 = 55 -5 + -3n = 55 + -49n + 36n Combine like terms: -49n + 36n = -13n -5 + -3n = 55 + -13n Solving -5 + -3n = 55 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -5 + -3n + 13n = 55 + -13n + 13n Combine like terms: -3n + 13n = 10n -5 + 10n = 55 + -13n + 13n Combine like terms: -13n + 13n = 0 -5 + 10n = 55 + 0 -5 + 10n = 55 Add '5' to each side of the equation. -5 + 5 + 10n = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 10n = 55 + 5 10n = 55 + 5 Combine like terms: 55 + 5 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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