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Simplifying 2n + 17 = 16 + 4(n + 7) Reorder the terms: 17 + 2n = 16 + 4(n + 7) Reorder the terms: 17 + 2n = 16 + 4(7 + n) 17 + 2n = 16 + (7 * 4 + n * 4) 17 + 2n = 16 + (28 + 4n) Combine like terms: 16 + 28 = 44 17 + 2n = 44 + 4n Solving 17 + 2n = 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 + 2n + -4n = 44 + 4n + -4n Combine like terms: 2n + -4n = -2n 17 + -2n = 44 + 4n + -4n Combine like terms: 4n + -4n = 0 17 + -2n = 44 + 0 17 + -2n = 44 Add '-17' to each side of the equation. 17 + -17 + -2n = 44 + -17 Combine like terms: 17 + -17 = 0 0 + -2n = 44 + -17 -2n = 44 + -17 Combine like terms: 44 + -17 = 27 -2n = 27 Divide each side by '-2'. n = -13.5 Simplifying n = -13.5
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