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Simplifying 5(2n + -7) = 13n + -17 Reorder the terms: 5(-7 + 2n) = 13n + -17 (-7 * 5 + 2n * 5) = 13n + -17 (-35 + 10n) = 13n + -17 Reorder the terms: -35 + 10n = -17 + 13n Solving -35 + 10n = -17 + 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. -35 + 10n + -13n = -17 + 13n + -13n Combine like terms: 10n + -13n = -3n -35 + -3n = -17 + 13n + -13n Combine like terms: 13n + -13n = 0 -35 + -3n = -17 + 0 -35 + -3n = -17 Add '35' to each side of the equation. -35 + 35 + -3n = -17 + 35 Combine like terms: -35 + 35 = 0 0 + -3n = -17 + 35 -3n = -17 + 35 Combine like terms: -17 + 35 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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