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Simplifying 4(n + 2) + -3(n + -1) = 17 Reorder the terms: 4(2 + n) + -3(n + -1) = 17 (2 * 4 + n * 4) + -3(n + -1) = 17 (8 + 4n) + -3(n + -1) = 17 Reorder the terms: 8 + 4n + -3(-1 + n) = 17 8 + 4n + (-1 * -3 + n * -3) = 17 8 + 4n + (3 + -3n) = 17 Reorder the terms: 8 + 3 + 4n + -3n = 17 Combine like terms: 8 + 3 = 11 11 + 4n + -3n = 17 Combine like terms: 4n + -3n = 1n 11 + 1n = 17 Solving 11 + 1n = 17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1n = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 1n = 17 + -11 1n = 17 + -11 Combine like terms: 17 + -11 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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