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Simplifying -5(6n + 2) = -5(-3 + -2n) Reorder the terms: -5(2 + 6n) = -5(-3 + -2n) (2 * -5 + 6n * -5) = -5(-3 + -2n) (-10 + -30n) = -5(-3 + -2n) -10 + -30n = (-3 * -5 + -2n * -5) -10 + -30n = (15 + 10n) Solving -10 + -30n = 15 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -10 + -30n + -10n = 15 + 10n + -10n Combine like terms: -30n + -10n = -40n -10 + -40n = 15 + 10n + -10n Combine like terms: 10n + -10n = 0 -10 + -40n = 15 + 0 -10 + -40n = 15 Add '10' to each side of the equation. -10 + 10 + -40n = 15 + 10 Combine like terms: -10 + 10 = 0 0 + -40n = 15 + 10 -40n = 15 + 10 Combine like terms: 15 + 10 = 25 -40n = 25 Divide each side by '-40'. n = -0.625 Simplifying n = -0.625
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