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Simplifying 293 = -7(7n + 5) + 8n Reorder the terms: 293 = -7(5 + 7n) + 8n 293 = (5 * -7 + 7n * -7) + 8n 293 = (-35 + -49n) + 8n Combine like terms: -49n + 8n = -41n 293 = -35 + -41n Solving 293 = -35 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 293 + 41n = -35 + -41n + 41n Combine like terms: -41n + 41n = 0 293 + 41n = -35 + 0 293 + 41n = -35 Add '-293' to each side of the equation. 293 + -293 + 41n = -35 + -293 Combine like terms: 293 + -293 = 0 0 + 41n = -35 + -293 41n = -35 + -293 Combine like terms: -35 + -293 = -328 41n = -328 Divide each side by '41'. n = -8 Simplifying n = -8
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