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Simplifying -3(11n + -5) = 2(-12n + 30) Reorder the terms: -3(-5 + 11n) = 2(-12n + 30) (-5 * -3 + 11n * -3) = 2(-12n + 30) (15 + -33n) = 2(-12n + 30) Reorder the terms: 15 + -33n = 2(30 + -12n) 15 + -33n = (30 * 2 + -12n * 2) 15 + -33n = (60 + -24n) Solving 15 + -33n = 60 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 15 + -33n + 24n = 60 + -24n + 24n Combine like terms: -33n + 24n = -9n 15 + -9n = 60 + -24n + 24n Combine like terms: -24n + 24n = 0 15 + -9n = 60 + 0 15 + -9n = 60 Add '-15' to each side of the equation. 15 + -15 + -9n = 60 + -15 Combine like terms: 15 + -15 = 0 0 + -9n = 60 + -15 -9n = 60 + -15 Combine like terms: 60 + -15 = 45 -9n = 45 Divide each side by '-9'. n = -5 Simplifying n = -5
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