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Simplifying 5n + -17 = -5(5n + -7) + 4n Reorder the terms: -17 + 5n = -5(5n + -7) + 4n Reorder the terms: -17 + 5n = -5(-7 + 5n) + 4n -17 + 5n = (-7 * -5 + 5n * -5) + 4n -17 + 5n = (35 + -25n) + 4n Combine like terms: -25n + 4n = -21n -17 + 5n = 35 + -21n Solving -17 + 5n = 35 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -17 + 5n + 21n = 35 + -21n + 21n Combine like terms: 5n + 21n = 26n -17 + 26n = 35 + -21n + 21n Combine like terms: -21n + 21n = 0 -17 + 26n = 35 + 0 -17 + 26n = 35 Add '17' to each side of the equation. -17 + 17 + 26n = 35 + 17 Combine like terms: -17 + 17 = 0 0 + 26n = 35 + 17 26n = 35 + 17 Combine like terms: 35 + 17 = 52 26n = 52 Divide each side by '26'. n = 2 Simplifying n = 2
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