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Simplifying 5(3n + -2) = (3n + 2) + 9 Reorder the terms: 5(-2 + 3n) = (3n + 2) + 9 (-2 * 5 + 3n * 5) = (3n + 2) + 9 (-10 + 15n) = (3n + 2) + 9 Reorder the terms: -10 + 15n = (2 + 3n) + 9 Remove parenthesis around (2 + 3n) -10 + 15n = 2 + 3n + 9 Reorder the terms: -10 + 15n = 2 + 9 + 3n Combine like terms: 2 + 9 = 11 -10 + 15n = 11 + 3n Solving -10 + 15n = 11 + 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. -10 + 15n + -3n = 11 + 3n + -3n Combine like terms: 15n + -3n = 12n -10 + 12n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 12n = 11 + 0 -10 + 12n = 11 Add '10' to each side of the equation. -10 + 10 + 12n = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 12n = 11 + 10 12n = 11 + 10 Combine like terms: 11 + 10 = 21 12n = 21 Divide each side by '12'. n = 1.75 Simplifying n = 1.75
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