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Simplifying -5(2n + -1) = -3(2n + 5) Reorder the terms: -5(-1 + 2n) = -3(2n + 5) (-1 * -5 + 2n * -5) = -3(2n + 5) (5 + -10n) = -3(2n + 5) Reorder the terms: 5 + -10n = -3(5 + 2n) 5 + -10n = (5 * -3 + 2n * -3) 5 + -10n = (-15 + -6n) Solving 5 + -10n = -15 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 5 + -10n + 6n = -15 + -6n + 6n Combine like terms: -10n + 6n = -4n 5 + -4n = -15 + -6n + 6n Combine like terms: -6n + 6n = 0 5 + -4n = -15 + 0 5 + -4n = -15 Add '-5' to each side of the equation. 5 + -5 + -4n = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = -15 + -5 -4n = -15 + -5 Combine like terms: -15 + -5 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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