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Simplifying 5(2n + -4) = 6(5n + -3) Reorder the terms: 5(-4 + 2n) = 6(5n + -3) (-4 * 5 + 2n * 5) = 6(5n + -3) (-20 + 10n) = 6(5n + -3) Reorder the terms: -20 + 10n = 6(-3 + 5n) -20 + 10n = (-3 * 6 + 5n * 6) -20 + 10n = (-18 + 30n) Solving -20 + 10n = -18 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -20 + 10n + -30n = -18 + 30n + -30n Combine like terms: 10n + -30n = -20n -20 + -20n = -18 + 30n + -30n Combine like terms: 30n + -30n = 0 -20 + -20n = -18 + 0 -20 + -20n = -18 Add '20' to each side of the equation. -20 + 20 + -20n = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -20n = -18 + 20 -20n = -18 + 20 Combine like terms: -18 + 20 = 2 -20n = 2 Divide each side by '-20'. n = -0.1 Simplifying n = -0.1
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