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Simplifying 39 + 8n = 7 + -8(2 + -4n) 39 + 8n = 7 + (2 * -8 + -4n * -8) 39 + 8n = 7 + (-16 + 32n) Combine like terms: 7 + -16 = -9 39 + 8n = -9 + 32n Solving 39 + 8n = -9 + 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. 39 + 8n + -32n = -9 + 32n + -32n Combine like terms: 8n + -32n = -24n 39 + -24n = -9 + 32n + -32n Combine like terms: 32n + -32n = 0 39 + -24n = -9 + 0 39 + -24n = -9 Add '-39' to each side of the equation. 39 + -39 + -24n = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -24n = -9 + -39 -24n = -9 + -39 Combine like terms: -9 + -39 = -48 -24n = -48 Divide each side by '-24'. n = 2 Simplifying n = 2
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