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Simplifying -17 + 4n = 7(4n + 1) Reorder the terms: -17 + 4n = 7(1 + 4n) -17 + 4n = (1 * 7 + 4n * 7) -17 + 4n = (7 + 28n) Solving -17 + 4n = 7 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -17 + 4n + -28n = 7 + 28n + -28n Combine like terms: 4n + -28n = -24n -17 + -24n = 7 + 28n + -28n Combine like terms: 28n + -28n = 0 -17 + -24n = 7 + 0 -17 + -24n = 7 Add '17' to each side of the equation. -17 + 17 + -24n = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -24n = 7 + 17 -24n = 7 + 17 Combine like terms: 7 + 17 = 24 -24n = 24 Divide each side by '-24'. n = -1 Simplifying n = -1
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