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Simplifying -17 + 4n = 7(5n + 2) Reorder the terms: -17 + 4n = 7(2 + 5n) -17 + 4n = (2 * 7 + 5n * 7) -17 + 4n = (14 + 35n) Solving -17 + 4n = 14 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -17 + 4n + -35n = 14 + 35n + -35n Combine like terms: 4n + -35n = -31n -17 + -31n = 14 + 35n + -35n Combine like terms: 35n + -35n = 0 -17 + -31n = 14 + 0 -17 + -31n = 14 Add '17' to each side of the equation. -17 + 17 + -31n = 14 + 17 Combine like terms: -17 + 17 = 0 0 + -31n = 14 + 17 -31n = 14 + 17 Combine like terms: 14 + 17 = 31 -31n = 31 Divide each side by '-31'. n = -1 Simplifying n = -1
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