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Simplifying -2(n + -5) + 4n = 17 + 3n Reorder the terms: -2(-5 + n) + 4n = 17 + 3n (-5 * -2 + n * -2) + 4n = 17 + 3n (10 + -2n) + 4n = 17 + 3n Combine like terms: -2n + 4n = 2n 10 + 2n = 17 + 3n Solving 10 + 2n = 17 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 2n + -3n = 17 + 3n + -3n Combine like terms: 2n + -3n = -1n 10 + -1n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + -1n = 17 + 0 10 + -1n = 17 Add '-10' to each side of the equation. 10 + -10 + -1n = 17 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 17 + -10 -1n = 17 + -10 Combine like terms: 17 + -10 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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