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Simplifying -293 = -7(6n + 6) + 1 Reorder the terms: -293 = -7(6 + 6n) + 1 -293 = (6 * -7 + 6n * -7) + 1 -293 = (-42 + -42n) + 1 Reorder the terms: -293 = -42 + 1 + -42n Combine like terms: -42 + 1 = -41 -293 = -41 + -42n Solving -293 = -41 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -293 + 42n = -41 + -42n + 42n Combine like terms: -42n + 42n = 0 -293 + 42n = -41 + 0 -293 + 42n = -41 Add '293' to each side of the equation. -293 + 293 + 42n = -41 + 293 Combine like terms: -293 + 293 = 0 0 + 42n = -41 + 293 42n = -41 + 293 Combine like terms: -41 + 293 = 252 42n = 252 Divide each side by '42'. n = 6 Simplifying n = 6
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