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Simplifying 8(2n + -2) = (9n + 7) + 8 Reorder the terms: 8(-2 + 2n) = (9n + 7) + 8 (-2 * 8 + 2n * 8) = (9n + 7) + 8 (-16 + 16n) = (9n + 7) + 8 Reorder the terms: -16 + 16n = (7 + 9n) + 8 Remove parenthesis around (7 + 9n) -16 + 16n = 7 + 9n + 8 Reorder the terms: -16 + 16n = 7 + 8 + 9n Combine like terms: 7 + 8 = 15 -16 + 16n = 15 + 9n Solving -16 + 16n = 15 + 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. -16 + 16n + -9n = 15 + 9n + -9n Combine like terms: 16n + -9n = 7n -16 + 7n = 15 + 9n + -9n Combine like terms: 9n + -9n = 0 -16 + 7n = 15 + 0 -16 + 7n = 15 Add '16' to each side of the equation. -16 + 16 + 7n = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = 15 + 16 7n = 15 + 16 Combine like terms: 15 + 16 = 31 7n = 31 Divide each side by '7'. n = 4.428571429 Simplifying n = 4.428571429
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