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Simplifying 5(3n + 4) = 3n + -4 Reorder the terms: 5(4 + 3n) = 3n + -4 (4 * 5 + 3n * 5) = 3n + -4 (20 + 15n) = 3n + -4 Reorder the terms: 20 + 15n = -4 + 3n Solving 20 + 15n = -4 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 20 + 15n + -3n = -4 + 3n + -3n Combine like terms: 15n + -3n = 12n 20 + 12n = -4 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 12n = -4 + 0 20 + 12n = -4 Add '-20' to each side of the equation. 20 + -20 + 12n = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 12n = -4 + -20 12n = -4 + -20 Combine like terms: -4 + -20 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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