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Simplifying 238 = -7 + -7(6n + 7) Reorder the terms: 238 = -7 + -7(7 + 6n) 238 = -7 + (7 * -7 + 6n * -7) 238 = -7 + (-49 + -42n) Combine like terms: -7 + -49 = -56 238 = -56 + -42n Solving 238 = -56 + -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. 238 + 42n = -56 + -42n + 42n Combine like terms: -42n + 42n = 0 238 + 42n = -56 + 0 238 + 42n = -56 Add '-238' to each side of the equation. 238 + -238 + 42n = -56 + -238 Combine like terms: 238 + -238 = 0 0 + 42n = -56 + -238 42n = -56 + -238 Combine like terms: -56 + -238 = -294 42n = -294 Divide each side by '42'. n = -7 Simplifying n = -7
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