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Simplifying 5(3n + -4) = (6n + 7) + 9 Reorder the terms: 5(-4 + 3n) = (6n + 7) + 9 (-4 * 5 + 3n * 5) = (6n + 7) + 9 (-20 + 15n) = (6n + 7) + 9 Reorder the terms: -20 + 15n = (7 + 6n) + 9 Remove parenthesis around (7 + 6n) -20 + 15n = 7 + 6n + 9 Reorder the terms: -20 + 15n = 7 + 9 + 6n Combine like terms: 7 + 9 = 16 -20 + 15n = 16 + 6n Solving -20 + 15n = 16 + 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. -20 + 15n + -6n = 16 + 6n + -6n Combine like terms: 15n + -6n = 9n -20 + 9n = 16 + 6n + -6n Combine like terms: 6n + -6n = 0 -20 + 9n = 16 + 0 -20 + 9n = 16 Add '20' to each side of the equation. -20 + 20 + 9n = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 9n = 16 + 20 9n = 16 + 20 Combine like terms: 16 + 20 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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