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Simplifying 5 + -6(1 + 8n) = 39 + -8n 5 + (1 * -6 + 8n * -6) = 39 + -8n 5 + (-6 + -48n) = 39 + -8n Combine like terms: 5 + -6 = -1 -1 + -48n = 39 + -8n Solving -1 + -48n = 39 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -1 + -48n + 8n = 39 + -8n + 8n Combine like terms: -48n + 8n = -40n -1 + -40n = 39 + -8n + 8n Combine like terms: -8n + 8n = 0 -1 + -40n = 39 + 0 -1 + -40n = 39 Add '1' to each side of the equation. -1 + 1 + -40n = 39 + 1 Combine like terms: -1 + 1 = 0 0 + -40n = 39 + 1 -40n = 39 + 1 Combine like terms: 39 + 1 = 40 -40n = 40 Divide each side by '-40'. n = -1 Simplifying n = -1
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