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Simplifying (6n + -2) + -1(4n + -3) = 0 Reorder the terms: (-2 + 6n) + -1(4n + -3) = 0 Remove parenthesis around (-2 + 6n) -2 + 6n + -1(4n + -3) = 0 Reorder the terms: -2 + 6n + -1(-3 + 4n) = 0 -2 + 6n + (-3 * -1 + 4n * -1) = 0 -2 + 6n + (3 + -4n) = 0 Reorder the terms: -2 + 3 + 6n + -4n = 0 Combine like terms: -2 + 3 = 1 1 + 6n + -4n = 0 Combine like terms: 6n + -4n = 2n 1 + 2n = 0 Solving 1 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 0 + -1 2n = 0 + -1 Combine like terms: 0 + -1 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5
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