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Simplifying 2(2n + -5) = -6n + 14 + 4n Reorder the terms: 2(-5 + 2n) = -6n + 14 + 4n (-5 * 2 + 2n * 2) = -6n + 14 + 4n (-10 + 4n) = -6n + 14 + 4n Reorder the terms: -10 + 4n = 14 + -6n + 4n Combine like terms: -6n + 4n = -2n -10 + 4n = 14 + -2n Solving -10 + 4n = 14 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -10 + 4n + 2n = 14 + -2n + 2n Combine like terms: 4n + 2n = 6n -10 + 6n = 14 + -2n + 2n Combine like terms: -2n + 2n = 0 -10 + 6n = 14 + 0 -10 + 6n = 14 Add '10' to each side of the equation. -10 + 10 + 6n = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 6n = 14 + 10 6n = 14 + 10 Combine like terms: 14 + 10 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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