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Simplifying 3(3n + -4) = (2n + 9) + 5 Reorder the terms: 3(-4 + 3n) = (2n + 9) + 5 (-4 * 3 + 3n * 3) = (2n + 9) + 5 (-12 + 9n) = (2n + 9) + 5 Reorder the terms: -12 + 9n = (9 + 2n) + 5 Remove parenthesis around (9 + 2n) -12 + 9n = 9 + 2n + 5 Reorder the terms: -12 + 9n = 9 + 5 + 2n Combine like terms: 9 + 5 = 14 -12 + 9n = 14 + 2n Solving -12 + 9n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -12 + 9n + -2n = 14 + 2n + -2n Combine like terms: 9n + -2n = 7n -12 + 7n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 7n = 14 + 0 -12 + 7n = 14 Add '12' to each side of the equation. -12 + 12 + 7n = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 14 + 12 7n = 14 + 12 Combine like terms: 14 + 12 = 26 7n = 26 Divide each side by '7'. n = 3.714285714 Simplifying n = 3.714285714
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