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Simplifying 7(2n + -1) = (9n + 8) + 5 Reorder the terms: 7(-1 + 2n) = (9n + 8) + 5 (-1 * 7 + 2n * 7) = (9n + 8) + 5 (-7 + 14n) = (9n + 8) + 5 Reorder the terms: -7 + 14n = (8 + 9n) + 5 Remove parenthesis around (8 + 9n) -7 + 14n = 8 + 9n + 5 Reorder the terms: -7 + 14n = 8 + 5 + 9n Combine like terms: 8 + 5 = 13 -7 + 14n = 13 + 9n Solving -7 + 14n = 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. -7 + 14n + -9n = 13 + 9n + -9n Combine like terms: 14n + -9n = 5n -7 + 5n = 13 + 9n + -9n Combine like terms: 9n + -9n = 0 -7 + 5n = 13 + 0 -7 + 5n = 13 Add '7' to each side of the equation. -7 + 7 + 5n = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5n = 13 + 7 5n = 13 + 7 Combine like terms: 13 + 7 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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