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Simplifying (6n + -3) + -1(4n + -5) = 0 Reorder the terms: (-3 + 6n) + -1(4n + -5) = 0 Remove parenthesis around (-3 + 6n) -3 + 6n + -1(4n + -5) = 0 Reorder the terms: -3 + 6n + -1(-5 + 4n) = 0 -3 + 6n + (-5 * -1 + 4n * -1) = 0 -3 + 6n + (5 + -4n) = 0 Reorder the terms: -3 + 5 + 6n + -4n = 0 Combine like terms: -3 + 5 = 2 2 + 6n + -4n = 0 Combine like terms: 6n + -4n = 2n 2 + 2n = 0 Solving 2 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 0 + -2 2n = 0 + -2 Combine like terms: 0 + -2 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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