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