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Simplifying 115 = 5(7 + -8n) 115 = (7 * 5 + -8n * 5) 115 = (35 + -40n) Solving 115 = 35 + -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. 115 + 40n = 35 + -40n + 40n Combine like terms: -40n + 40n = 0 115 + 40n = 35 + 0 115 + 40n = 35 Add '-115' to each side of the equation. 115 + -115 + 40n = 35 + -115 Combine like terms: 115 + -115 = 0 0 + 40n = 35 + -115 40n = 35 + -115 Combine like terms: 35 + -115 = -80 40n = -80 Divide each side by '40'. n = -2 Simplifying n = -2
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