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Simplifying -5n + 17 = 4(n + 11) Reorder the terms: 17 + -5n = 4(n + 11) Reorder the terms: 17 + -5n = 4(11 + n) 17 + -5n = (11 * 4 + n * 4) 17 + -5n = (44 + 4n) Solving 17 + -5n = 44 + 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 = 44 + 4n + -4n Combine like terms: -5n + -4n = -9n 17 + -9n = 44 + 4n + -4n Combine like terms: 4n + -4n = 0 17 + -9n = 44 + 0 17 + -9n = 44 Add '-17' to each side of the equation. 17 + -17 + -9n = 44 + -17 Combine like terms: 17 + -17 = 0 0 + -9n = 44 + -17 -9n = 44 + -17 Combine like terms: 44 + -17 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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