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Simplifying 3(n + -5) + -1(7 + -2n) = 4n Reorder the terms: 3(-5 + n) + -1(7 + -2n) = 4n (-5 * 3 + n * 3) + -1(7 + -2n) = 4n (-15 + 3n) + -1(7 + -2n) = 4n -15 + 3n + (7 * -1 + -2n * -1) = 4n -15 + 3n + (-7 + 2n) = 4n Reorder the terms: -15 + -7 + 3n + 2n = 4n Combine like terms: -15 + -7 = -22 -22 + 3n + 2n = 4n Combine like terms: 3n + 2n = 5n -22 + 5n = 4n Solving -22 + 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. -22 + 5n + -4n = 4n + -4n Combine like terms: 5n + -4n = 1n -22 + 1n = 4n + -4n Combine like terms: 4n + -4n = 0 -22 + 1n = 0 Add '22' to each side of the equation. -22 + 22 + 1n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1n = 0 + 22 1n = 0 + 22 Combine like terms: 0 + 22 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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