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Simplifying 5(-7 + 4n) = 21 + 6n (-7 * 5 + 4n * 5) = 21 + 6n (-35 + 20n) = 21 + 6n Solving -35 + 20n = 21 + 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. -35 + 20n + -6n = 21 + 6n + -6n Combine like terms: 20n + -6n = 14n -35 + 14n = 21 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + 14n = 21 + 0 -35 + 14n = 21 Add '35' to each side of the equation. -35 + 35 + 14n = 21 + 35 Combine like terms: -35 + 35 = 0 0 + 14n = 21 + 35 14n = 21 + 35 Combine like terms: 21 + 35 = 56 14n = 56 Divide each side by '14'. n = 4 Simplifying n = 4
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