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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 = 31n -17 + 31n = 5(3n + -13) Reorder the terms: -17 + 31n = 5(-13 + 3n) -17 + 31n = (-13 * 5 + 3n * 5) -17 + 31n = (-65 + 15n) Solving -17 + 31n = -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 + 31n + -15n = -65 + 15n + -15n Combine like terms: 31n + -15n = 16n -17 + 16n = -65 + 15n + -15n Combine like terms: 15n + -15n = 0 -17 + 16n = -65 + 0 -17 + 16n = -65 Add '17' to each side of the equation. -17 + 17 + 16n = -65 + 17 Combine like terms: -17 + 17 = 0 0 + 16n = -65 + 17 16n = -65 + 17 Combine like terms: -65 + 17 = -48 16n = -48 Divide each side by '16'. n = -3 Simplifying n = -3
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