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Simplifying -5(6 + -2n) = 45 + -2n (6 * -5 + -2n * -5) = 45 + -2n (-30 + 10n) = 45 + -2n Solving -30 + 10n = 45 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -30 + 10n + 2n = 45 + -2n + 2n Combine like terms: 10n + 2n = 12n -30 + 12n = 45 + -2n + 2n Combine like terms: -2n + 2n = 0 -30 + 12n = 45 + 0 -30 + 12n = 45 Add '30' to each side of the equation. -30 + 30 + 12n = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 12n = 45 + 30 12n = 45 + 30 Combine like terms: 45 + 30 = 75 12n = 75 Divide each side by '12'. n = 6.25 Simplifying n = 6.25
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