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Simplifying 5(4n + -3) = 3(6n + -1) Reorder the terms: 5(-3 + 4n) = 3(6n + -1) (-3 * 5 + 4n * 5) = 3(6n + -1) (-15 + 20n) = 3(6n + -1) Reorder the terms: -15 + 20n = 3(-1 + 6n) -15 + 20n = (-1 * 3 + 6n * 3) -15 + 20n = (-3 + 18n) Solving -15 + 20n = -3 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -15 + 20n + -18n = -3 + 18n + -18n Combine like terms: 20n + -18n = 2n -15 + 2n = -3 + 18n + -18n Combine like terms: 18n + -18n = 0 -15 + 2n = -3 + 0 -15 + 2n = -3 Add '15' to each side of the equation. -15 + 15 + 2n = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = -3 + 15 2n = -3 + 15 Combine like terms: -3 + 15 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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