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Simplifying 8(3n + -4) = (9n + 7) + 6 Reorder the terms: 8(-4 + 3n) = (9n + 7) + 6 (-4 * 8 + 3n * 8) = (9n + 7) + 6 (-32 + 24n) = (9n + 7) + 6 Reorder the terms: -32 + 24n = (7 + 9n) + 6 Remove parenthesis around (7 + 9n) -32 + 24n = 7 + 9n + 6 Reorder the terms: -32 + 24n = 7 + 6 + 9n Combine like terms: 7 + 6 = 13 -32 + 24n = 13 + 9n Solving -32 + 24n = 13 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -32 + 24n + -9n = 13 + 9n + -9n Combine like terms: 24n + -9n = 15n -32 + 15n = 13 + 9n + -9n Combine like terms: 9n + -9n = 0 -32 + 15n = 13 + 0 -32 + 15n = 13 Add '32' to each side of the equation. -32 + 32 + 15n = 13 + 32 Combine like terms: -32 + 32 = 0 0 + 15n = 13 + 32 15n = 13 + 32 Combine like terms: 13 + 32 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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