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Simplifying 2(n + -1) + 5 = 8(2n + 1) + 9 Reorder the terms: 2(-1 + n) + 5 = 8(2n + 1) + 9 (-1 * 2 + n * 2) + 5 = 8(2n + 1) + 9 (-2 + 2n) + 5 = 8(2n + 1) + 9 Reorder the terms: -2 + 5 + 2n = 8(2n + 1) + 9 Combine like terms: -2 + 5 = 3 3 + 2n = 8(2n + 1) + 9 Reorder the terms: 3 + 2n = 8(1 + 2n) + 9 3 + 2n = (1 * 8 + 2n * 8) + 9 3 + 2n = (8 + 16n) + 9 Reorder the terms: 3 + 2n = 8 + 9 + 16n Combine like terms: 8 + 9 = 17 3 + 2n = 17 + 16n Solving 3 + 2n = 17 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 3 + 2n + -16n = 17 + 16n + -16n Combine like terms: 2n + -16n = -14n 3 + -14n = 17 + 16n + -16n Combine like terms: 16n + -16n = 0 3 + -14n = 17 + 0 3 + -14n = 17 Add '-3' to each side of the equation. 3 + -3 + -14n = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -14n = 17 + -3 -14n = 17 + -3 Combine like terms: 17 + -3 = 14 -14n = 14 Divide each side by '-14'. n = -1 Simplifying n = -1
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