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Simplifying 8(2n + -4) = (9n + 8) + 1 Reorder the terms: 8(-4 + 2n) = (9n + 8) + 1 (-4 * 8 + 2n * 8) = (9n + 8) + 1 (-32 + 16n) = (9n + 8) + 1 Reorder the terms: -32 + 16n = (8 + 9n) + 1 Remove parenthesis around (8 + 9n) -32 + 16n = 8 + 9n + 1 Reorder the terms: -32 + 16n = 8 + 1 + 9n Combine like terms: 8 + 1 = 9 -32 + 16n = 9 + 9n Solving -32 + 16n = 9 + 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 + 16n + -9n = 9 + 9n + -9n Combine like terms: 16n + -9n = 7n -32 + 7n = 9 + 9n + -9n Combine like terms: 9n + -9n = 0 -32 + 7n = 9 + 0 -32 + 7n = 9 Add '32' to each side of the equation. -32 + 32 + 7n = 9 + 32 Combine like terms: -32 + 32 = 0 0 + 7n = 9 + 32 7n = 9 + 32 Combine like terms: 9 + 32 = 41 7n = 41 Divide each side by '7'. n = 5.857142857 Simplifying n = 5.857142857
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