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Simplifying 91 = n + (4n + -2) + (5n + -7) Reorder the terms: 91 = n + (-2 + 4n) + (5n + -7) Remove parenthesis around (-2 + 4n) 91 = n + -2 + 4n + (5n + -7) Reorder the terms: 91 = n + -2 + 4n + (-7 + 5n) Remove parenthesis around (-7 + 5n) 91 = n + -2 + 4n + -7 + 5n Reorder the terms: 91 = -2 + -7 + n + 4n + 5n Combine like terms: -2 + -7 = -9 91 = -9 + n + 4n + 5n Combine like terms: n + 4n = 5n 91 = -9 + 5n + 5n Combine like terms: 5n + 5n = 10n 91 = -9 + 10n Solving 91 = -9 + 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. 91 + -10n = -9 + 10n + -10n Combine like terms: 10n + -10n = 0 91 + -10n = -9 + 0 91 + -10n = -9 Add '-91' to each side of the equation. 91 + -91 + -10n = -9 + -91 Combine like terms: 91 + -91 = 0 0 + -10n = -9 + -91 -10n = -9 + -91 Combine like terms: -9 + -91 = -100 -10n = -100 Divide each side by '-10'. n = 10 Simplifying n = 10
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