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Simplifying 5(3n + -3) = (6n + 4) + 3 Reorder the terms: 5(-3 + 3n) = (6n + 4) + 3 (-3 * 5 + 3n * 5) = (6n + 4) + 3 (-15 + 15n) = (6n + 4) + 3 Reorder the terms: -15 + 15n = (4 + 6n) + 3 Remove parenthesis around (4 + 6n) -15 + 15n = 4 + 6n + 3 Reorder the terms: -15 + 15n = 4 + 3 + 6n Combine like terms: 4 + 3 = 7 -15 + 15n = 7 + 6n Solving -15 + 15n = 7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -15 + 15n + -6n = 7 + 6n + -6n Combine like terms: 15n + -6n = 9n -15 + 9n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + 9n = 7 + 0 -15 + 9n = 7 Add '15' to each side of the equation. -15 + 15 + 9n = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 9n = 7 + 15 9n = 7 + 15 Combine like terms: 7 + 15 = 22 9n = 22 Divide each side by '9'. n = 2.444444444 Simplifying n = 2.444444444
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