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Simplifying 123 = 8 + -5(-7 + -8n) 123 = 8 + (-7 * -5 + -8n * -5) 123 = 8 + (35 + 40n) Combine like terms: 8 + 35 = 43 123 = 43 + 40n Solving 123 = 43 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 123 + -40n = 43 + 40n + -40n Combine like terms: 40n + -40n = 0 123 + -40n = 43 + 0 123 + -40n = 43 Add '-123' to each side of the equation. 123 + -123 + -40n = 43 + -123 Combine like terms: 123 + -123 = 0 0 + -40n = 43 + -123 -40n = 43 + -123 Combine like terms: 43 + -123 = -80 -40n = -80 Divide each side by '-40'. n = 2 Simplifying n = 2
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