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Simplifying -217 = -5(5 + -4n) + 4n -217 = (5 * -5 + -4n * -5) + 4n -217 = (-25 + 20n) + 4n Combine like terms: 20n + 4n = 24n -217 = -25 + 24n Solving -217 = -25 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -217 + -24n = -25 + 24n + -24n Combine like terms: 24n + -24n = 0 -217 + -24n = -25 + 0 -217 + -24n = -25 Add '217' to each side of the equation. -217 + 217 + -24n = -25 + 217 Combine like terms: -217 + 217 = 0 0 + -24n = -25 + 217 -24n = -25 + 217 Combine like terms: -25 + 217 = 192 -24n = 192 Divide each side by '-24'. n = -8 Simplifying n = -8
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