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Simplifying 3(3n + -4) = (7n + 6) + 9 Reorder the terms: 3(-4 + 3n) = (7n + 6) + 9 (-4 * 3 + 3n * 3) = (7n + 6) + 9 (-12 + 9n) = (7n + 6) + 9 Reorder the terms: -12 + 9n = (6 + 7n) + 9 Remove parenthesis around (6 + 7n) -12 + 9n = 6 + 7n + 9 Reorder the terms: -12 + 9n = 6 + 9 + 7n Combine like terms: 6 + 9 = 15 -12 + 9n = 15 + 7n Solving -12 + 9n = 15 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -12 + 9n + -7n = 15 + 7n + -7n Combine like terms: 9n + -7n = 2n -12 + 2n = 15 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + 2n = 15 + 0 -12 + 2n = 15 Add '12' to each side of the equation. -12 + 12 + 2n = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 15 + 12 2n = 15 + 12 Combine like terms: 15 + 12 = 27 2n = 27 Divide each side by '2'. n = 13.5 Simplifying n = 13.5
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