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Simplifying 1 + 7n = 14 + 3 + 4n + 5n Combine like terms: 14 + 3 = 17 1 + 7n = 17 + 4n + 5n Combine like terms: 4n + 5n = 9n 1 + 7n = 17 + 9n Solving 1 + 7n = 17 + 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. 1 + 7n + -9n = 17 + 9n + -9n Combine like terms: 7n + -9n = -2n 1 + -2n = 17 + 9n + -9n Combine like terms: 9n + -9n = 0 1 + -2n = 17 + 0 1 + -2n = 17 Add '-1' to each side of the equation. 1 + -1 + -2n = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 17 + -1 -2n = 17 + -1 Combine like terms: 17 + -1 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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