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Simplifying 5(3n + -3) = (3n + 7) + 2 Reorder the terms: 5(-3 + 3n) = (3n + 7) + 2 (-3 * 5 + 3n * 5) = (3n + 7) + 2 (-15 + 15n) = (3n + 7) + 2 Reorder the terms: -15 + 15n = (7 + 3n) + 2 Remove parenthesis around (7 + 3n) -15 + 15n = 7 + 3n + 2 Reorder the terms: -15 + 15n = 7 + 2 + 3n Combine like terms: 7 + 2 = 9 -15 + 15n = 9 + 3n Solving -15 + 15n = 9 + 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 = 9 + 3n + -3n Combine like terms: 15n + -3n = 12n -15 + 12n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 12n = 9 + 0 -15 + 12n = 9 Add '15' to each side of the equation. -15 + 15 + 12n = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 12n = 9 + 15 12n = 9 + 15 Combine like terms: 9 + 15 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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