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Simplifying 4(3n + -5) = 2(5n + 4) Reorder the terms: 4(-5 + 3n) = 2(5n + 4) (-5 * 4 + 3n * 4) = 2(5n + 4) (-20 + 12n) = 2(5n + 4) Reorder the terms: -20 + 12n = 2(4 + 5n) -20 + 12n = (4 * 2 + 5n * 2) -20 + 12n = (8 + 10n) Solving -20 + 12n = 8 + 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. -20 + 12n + -10n = 8 + 10n + -10n Combine like terms: 12n + -10n = 2n -20 + 2n = 8 + 10n + -10n Combine like terms: 10n + -10n = 0 -20 + 2n = 8 + 0 -20 + 2n = 8 Add '20' to each side of the equation. -20 + 20 + 2n = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 2n = 8 + 20 2n = 8 + 20 Combine like terms: 8 + 20 = 28 2n = 28 Divide each side by '2'. n = 14 Simplifying n = 14
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