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Simplifying 5(3n + -3) = 33 + 3n Reorder the terms: 5(-3 + 3n) = 33 + 3n (-3 * 5 + 3n * 5) = 33 + 3n (-15 + 15n) = 33 + 3n Solving -15 + 15n = 33 + 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. -15 + 15n + -3n = 33 + 3n + -3n Combine like terms: 15n + -3n = 12n -15 + 12n = 33 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 12n = 33 + 0 -15 + 12n = 33 Add '15' to each side of the equation. -15 + 15 + 12n = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 12n = 33 + 15 12n = 33 + 15 Combine like terms: 33 + 15 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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