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Simplifying -3(2n + -5) = (-12n + -30) Reorder the terms: -3(-5 + 2n) = (-12n + -30) (-5 * -3 + 2n * -3) = (-12n + -30) (15 + -6n) = (-12n + -30) Reorder the terms: 15 + -6n = (-30 + -12n) Remove parenthesis around (-30 + -12n) 15 + -6n = -30 + -12n Solving 15 + -6n = -30 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 15 + -6n + 12n = -30 + -12n + 12n Combine like terms: -6n + 12n = 6n 15 + 6n = -30 + -12n + 12n Combine like terms: -12n + 12n = 0 15 + 6n = -30 + 0 15 + 6n = -30 Add '-15' to each side of the equation. 15 + -15 + 6n = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = -30 + -15 6n = -30 + -15 Combine like terms: -30 + -15 = -45 6n = -45 Divide each side by '6'. n = -7.5 Simplifying n = -7.5
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