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Simplifying 3n + 4(n + -1) = 17 + 5n Reorder the terms: 3n + 4(-1 + n) = 17 + 5n 3n + (-1 * 4 + n * 4) = 17 + 5n 3n + (-4 + 4n) = 17 + 5n Reorder the terms: -4 + 3n + 4n = 17 + 5n Combine like terms: 3n + 4n = 7n -4 + 7n = 17 + 5n Solving -4 + 7n = 17 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4 + 7n + -5n = 17 + 5n + -5n Combine like terms: 7n + -5n = 2n -4 + 2n = 17 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + 2n = 17 + 0 -4 + 2n = 17 Add '4' to each side of the equation. -4 + 4 + 2n = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = 17 + 4 2n = 17 + 4 Combine like terms: 17 + 4 = 21 2n = 21 Divide each side by '2'. n = 10.5 Simplifying n = 10.5
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