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Simplifying (13n + 5) + -1(3n + 6) = 99 Reorder the terms: (5 + 13n) + -1(3n + 6) = 99 Remove parenthesis around (5 + 13n) 5 + 13n + -1(3n + 6) = 99 Reorder the terms: 5 + 13n + -1(6 + 3n) = 99 5 + 13n + (6 * -1 + 3n * -1) = 99 5 + 13n + (-6 + -3n) = 99 Reorder the terms: 5 + -6 + 13n + -3n = 99 Combine like terms: 5 + -6 = -1 -1 + 13n + -3n = 99 Combine like terms: 13n + -3n = 10n -1 + 10n = 99 Solving -1 + 10n = 99 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10n = 99 + 1 Combine like terms: -1 + 1 = 0 0 + 10n = 99 + 1 10n = 99 + 1 Combine like terms: 99 + 1 = 100 10n = 100 Divide each side by '10'. n = 10 Simplifying n = 10
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