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Simplifying 5(3n + -2) = (6n + 5) + 7 Reorder the terms: 5(-2 + 3n) = (6n + 5) + 7 (-2 * 5 + 3n * 5) = (6n + 5) + 7 (-10 + 15n) = (6n + 5) + 7 Reorder the terms: -10 + 15n = (5 + 6n) + 7 Remove parenthesis around (5 + 6n) -10 + 15n = 5 + 6n + 7 Reorder the terms: -10 + 15n = 5 + 7 + 6n Combine like terms: 5 + 7 = 12 -10 + 15n = 12 + 6n Solving -10 + 15n = 12 + 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. -10 + 15n + -6n = 12 + 6n + -6n Combine like terms: 15n + -6n = 9n -10 + 9n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + 9n = 12 + 0 -10 + 9n = 12 Add '10' to each side of the equation. -10 + 10 + 9n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 9n = 12 + 10 9n = 12 + 10 Combine like terms: 12 + 10 = 22 9n = 22 Divide each side by '9'. n = 2.444444444 Simplifying n = 2.444444444
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