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Simplifying (6n + -9) + -1(2n + -19) = 0 Reorder the terms: (-9 + 6n) + -1(2n + -19) = 0 Remove parenthesis around (-9 + 6n) -9 + 6n + -1(2n + -19) = 0 Reorder the terms: -9 + 6n + -1(-19 + 2n) = 0 -9 + 6n + (-19 * -1 + 2n * -1) = 0 -9 + 6n + (19 + -2n) = 0 Reorder the terms: -9 + 19 + 6n + -2n = 0 Combine like terms: -9 + 19 = 10 10 + 6n + -2n = 0 Combine like terms: 6n + -2n = 4n 10 + 4n = 0 Solving 10 + 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 0 + -10 4n = 0 + -10 Combine like terms: 0 + -10 = -10 4n = -10 Divide each side by '4'. n = -2.5 Simplifying n = -2.5
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