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Simplifying 3(n + -7) + -1(5 + -4n) = 6n Reorder the terms: 3(-7 + n) + -1(5 + -4n) = 6n (-7 * 3 + n * 3) + -1(5 + -4n) = 6n (-21 + 3n) + -1(5 + -4n) = 6n -21 + 3n + (5 * -1 + -4n * -1) = 6n -21 + 3n + (-5 + 4n) = 6n Reorder the terms: -21 + -5 + 3n + 4n = 6n Combine like terms: -21 + -5 = -26 -26 + 3n + 4n = 6n Combine like terms: 3n + 4n = 7n -26 + 7n = 6n Solving -26 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -26 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -26 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -26 + 1n = 0 Add '26' to each side of the equation. -26 + 26 + 1n = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1n = 0 + 26 1n = 0 + 26 Combine like terms: 0 + 26 = 26 1n = 26 Divide each side by '1'. n = 26 Simplifying n = 26
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