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Simplifying -5n + 17 = 4(n + 3) Reorder the terms: 17 + -5n = 4(n + 3) Reorder the terms: 17 + -5n = 4(3 + n) 17 + -5n = (3 * 4 + n * 4) 17 + -5n = (12 + 4n) Solving 17 + -5n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 17 + -5n + -4n = 12 + 4n + -4n Combine like terms: -5n + -4n = -9n 17 + -9n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 17 + -9n = 12 + 0 17 + -9n = 12 Add '-17' to each side of the equation. 17 + -17 + -9n = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -9n = 12 + -17 -9n = 12 + -17 Combine like terms: 12 + -17 = -5 -9n = -5 Divide each side by '-9'. n = 0.5555555556 Simplifying n = 0.5555555556
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