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Simplifying 14 + -3n = 1 + -8(4n + 2) Reorder the terms: 14 + -3n = 1 + -8(2 + 4n) 14 + -3n = 1 + (2 * -8 + 4n * -8) 14 + -3n = 1 + (-16 + -32n) Combine like terms: 1 + -16 = -15 14 + -3n = -15 + -32n Solving 14 + -3n = -15 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 14 + -3n + 32n = -15 + -32n + 32n Combine like terms: -3n + 32n = 29n 14 + 29n = -15 + -32n + 32n Combine like terms: -32n + 32n = 0 14 + 29n = -15 + 0 14 + 29n = -15 Add '-14' to each side of the equation. 14 + -14 + 29n = -15 + -14 Combine like terms: 14 + -14 = 0 0 + 29n = -15 + -14 29n = -15 + -14 Combine like terms: -15 + -14 = -29 29n = -29 Divide each side by '29'. n = -1 Simplifying n = -1
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