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Simplifying -2(3n + -2) + -1(6n + -5) = 3[2n + (4 + -1n)] Reorder the terms: -2(-2 + 3n) + -1(6n + -5) = 3[2n + (4 + -1n)] (-2 * -2 + 3n * -2) + -1(6n + -5) = 3[2n + (4 + -1n)] (4 + -6n) + -1(6n + -5) = 3[2n + (4 + -1n)] Reorder the terms: 4 + -6n + -1(-5 + 6n) = 3[2n + (4 + -1n)] 4 + -6n + (-5 * -1 + 6n * -1) = 3[2n + (4 + -1n)] 4 + -6n + (5 + -6n) = 3[2n + (4 + -1n)] Reorder the terms: 4 + 5 + -6n + -6n = 3[2n + (4 + -1n)] Combine like terms: 4 + 5 = 9 9 + -6n + -6n = 3[2n + (4 + -1n)] Combine like terms: -6n + -6n = -12n 9 + -12n = 3[2n + (4 + -1n)] Remove parenthesis around (4 + -1n) 9 + -12n = 3[2n + 4 + -1n] Reorder the terms: 9 + -12n = 3[4 + 2n + -1n] Combine like terms: 2n + -1n = 1n 9 + -12n = 3[4 + 1n] 9 + -12n = [4 * 3 + 1n * 3] 9 + -12n = [12 + 3n] Solving 9 + -12n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 9 + -12n + -3n = 12 + 3n + -3n Combine like terms: -12n + -3n = -15n 9 + -15n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + -15n = 12 + 0 9 + -15n = 12 Add '-9' to each side of the equation. 9 + -9 + -15n = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -15n = 12 + -9 -15n = 12 + -9 Combine like terms: 12 + -9 = 3 -15n = 3 Divide each side by '-15'. n = -0.2 Simplifying n = -0.2
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