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Simplifying 5n + -3(-4 + -5n) = -6(n + 3) + 4 5n + (-4 * -3 + -5n * -3) = -6(n + 3) + 4 5n + (12 + 15n) = -6(n + 3) + 4 Reorder the terms: 12 + 5n + 15n = -6(n + 3) + 4 Combine like terms: 5n + 15n = 20n 12 + 20n = -6(n + 3) + 4 Reorder the terms: 12 + 20n = -6(3 + n) + 4 12 + 20n = (3 * -6 + n * -6) + 4 12 + 20n = (-18 + -6n) + 4 Reorder the terms: 12 + 20n = -18 + 4 + -6n Combine like terms: -18 + 4 = -14 12 + 20n = -14 + -6n Solving 12 + 20n = -14 + -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. 12 + 20n + 6n = -14 + -6n + 6n Combine like terms: 20n + 6n = 26n 12 + 26n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 26n = -14 + 0 12 + 26n = -14 Add '-12' to each side of the equation. 12 + -12 + 26n = -14 + -12 Combine like terms: 12 + -12 = 0 0 + 26n = -14 + -12 26n = -14 + -12 Combine like terms: -14 + -12 = -26 26n = -26 Divide each side by '26'. n = -1 Simplifying n = -1
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