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Simplifying -6(2n + -5) = 3 + -3n Reorder the terms: -6(-5 + 2n) = 3 + -3n (-5 * -6 + 2n * -6) = 3 + -3n (30 + -12n) = 3 + -3n Solving 30 + -12n = 3 + -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. 30 + -12n + 3n = 3 + -3n + 3n Combine like terms: -12n + 3n = -9n 30 + -9n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 30 + -9n = 3 + 0 30 + -9n = 3 Add '-30' to each side of the equation. 30 + -30 + -9n = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -9n = 3 + -30 -9n = 3 + -30 Combine like terms: 3 + -30 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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