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Simplifying 8(2n + -3) = (9n + 6) + 7 Reorder the terms: 8(-3 + 2n) = (9n + 6) + 7 (-3 * 8 + 2n * 8) = (9n + 6) + 7 (-24 + 16n) = (9n + 6) + 7 Reorder the terms: -24 + 16n = (6 + 9n) + 7 Remove parenthesis around (6 + 9n) -24 + 16n = 6 + 9n + 7 Reorder the terms: -24 + 16n = 6 + 7 + 9n Combine like terms: 6 + 7 = 13 -24 + 16n = 13 + 9n Solving -24 + 16n = 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. -24 + 16n + -9n = 13 + 9n + -9n Combine like terms: 16n + -9n = 7n -24 + 7n = 13 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + 7n = 13 + 0 -24 + 7n = 13 Add '24' to each side of the equation. -24 + 24 + 7n = 13 + 24 Combine like terms: -24 + 24 = 0 0 + 7n = 13 + 24 7n = 13 + 24 Combine like terms: 13 + 24 = 37 7n = 37 Divide each side by '7'. n = 5.285714286 Simplifying n = 5.285714286
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