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Simplifying 4(2 + 4n) = 17 + 7n (2 * 4 + 4n * 4) = 17 + 7n (8 + 16n) = 17 + 7n Solving 8 + 16n = 17 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 8 + 16n + -7n = 17 + 7n + -7n Combine like terms: 16n + -7n = 9n 8 + 9n = 17 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + 9n = 17 + 0 8 + 9n = 17 Add '-8' to each side of the equation. 8 + -8 + 9n = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 9n = 17 + -8 9n = 17 + -8 Combine like terms: 17 + -8 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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