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Simplifying 13(n + -1) = 5(2n + 7) Reorder the terms: 13(-1 + n) = 5(2n + 7) (-1 * 13 + n * 13) = 5(2n + 7) (-13 + 13n) = 5(2n + 7) Reorder the terms: -13 + 13n = 5(7 + 2n) -13 + 13n = (7 * 5 + 2n * 5) -13 + 13n = (35 + 10n) Solving -13 + 13n = 35 + 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. -13 + 13n + -10n = 35 + 10n + -10n Combine like terms: 13n + -10n = 3n -13 + 3n = 35 + 10n + -10n Combine like terms: 10n + -10n = 0 -13 + 3n = 35 + 0 -13 + 3n = 35 Add '13' to each side of the equation. -13 + 13 + 3n = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 3n = 35 + 13 3n = 35 + 13 Combine like terms: 35 + 13 = 48 3n = 48 Divide each side by '3'. n = 16 Simplifying n = 16
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