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Simplifying 3(3n + -5) = (6n + 7) + 1 Reorder the terms: 3(-5 + 3n) = (6n + 7) + 1 (-5 * 3 + 3n * 3) = (6n + 7) + 1 (-15 + 9n) = (6n + 7) + 1 Reorder the terms: -15 + 9n = (7 + 6n) + 1 Remove parenthesis around (7 + 6n) -15 + 9n = 7 + 6n + 1 Reorder the terms: -15 + 9n = 7 + 1 + 6n Combine like terms: 7 + 1 = 8 -15 + 9n = 8 + 6n Solving -15 + 9n = 8 + 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 + 9n + -6n = 8 + 6n + -6n Combine like terms: 9n + -6n = 3n -15 + 3n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + 3n = 8 + 0 -15 + 3n = 8 Add '15' to each side of the equation. -15 + 15 + 3n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 3n = 8 + 15 3n = 8 + 15 Combine like terms: 8 + 15 = 23 3n = 23 Divide each side by '3'. n = 7.666666667 Simplifying n = 7.666666667
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