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Simplifying 14n + -17 + -17n = 5(3n + -13) Reorder the terms: -17 + 14n + -17n = 5(3n + -13) Combine like terms: 14n + -17n = -3n -17 + -3n = 5(3n + -13) Reorder the terms: -17 + -3n = 5(-13 + 3n) -17 + -3n = (-13 * 5 + 3n * 5) -17 + -3n = (-65 + 15n) Solving -17 + -3n = -65 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -17 + -3n + -15n = -65 + 15n + -15n Combine like terms: -3n + -15n = -18n -17 + -18n = -65 + 15n + -15n Combine like terms: 15n + -15n = 0 -17 + -18n = -65 + 0 -17 + -18n = -65 Add '17' to each side of the equation. -17 + 17 + -18n = -65 + 17 Combine like terms: -17 + 17 = 0 0 + -18n = -65 + 17 -18n = -65 + 17 Combine like terms: -65 + 17 = -48 -18n = -48 Divide each side by '-18'. n = 2.666666667 Simplifying n = 2.666666667
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