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Simplifying 8(3n + -1) = (9n + 6) + 7 Reorder the terms: 8(-1 + 3n) = (9n + 6) + 7 (-1 * 8 + 3n * 8) = (9n + 6) + 7 (-8 + 24n) = (9n + 6) + 7 Reorder the terms: -8 + 24n = (6 + 9n) + 7 Remove parenthesis around (6 + 9n) -8 + 24n = 6 + 9n + 7 Reorder the terms: -8 + 24n = 6 + 7 + 9n Combine like terms: 6 + 7 = 13 -8 + 24n = 13 + 9n Solving -8 + 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. -8 + 24n + -9n = 13 + 9n + -9n Combine like terms: 24n + -9n = 15n -8 + 15n = 13 + 9n + -9n Combine like terms: 9n + -9n = 0 -8 + 15n = 13 + 0 -8 + 15n = 13 Add '8' to each side of the equation. -8 + 8 + 15n = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 15n = 13 + 8 15n = 13 + 8 Combine like terms: 13 + 8 = 21 15n = 21 Divide each side by '15'. n = 1.4 Simplifying n = 1.4
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