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Simplifying 5(2n + -4) = -8(-5n + -5) Reorder the terms: 5(-4 + 2n) = -8(-5n + -5) (-4 * 5 + 2n * 5) = -8(-5n + -5) (-20 + 10n) = -8(-5n + -5) Reorder the terms: -20 + 10n = -8(-5 + -5n) -20 + 10n = (-5 * -8 + -5n * -8) -20 + 10n = (40 + 40n) Solving -20 + 10n = 40 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -20 + 10n + -40n = 40 + 40n + -40n Combine like terms: 10n + -40n = -30n -20 + -30n = 40 + 40n + -40n Combine like terms: 40n + -40n = 0 -20 + -30n = 40 + 0 -20 + -30n = 40 Add '20' to each side of the equation. -20 + 20 + -30n = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -30n = 40 + 20 -30n = 40 + 20 Combine like terms: 40 + 20 = 60 -30n = 60 Divide each side by '-30'. n = -2 Simplifying n = -2
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