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Simplifying 288 = -6(1 + 7n) 288 = (1 * -6 + 7n * -6) 288 = (-6 + -42n) Solving 288 = -6 + -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. 288 + 42n = -6 + -42n + 42n Combine like terms: -42n + 42n = 0 288 + 42n = -6 + 0 288 + 42n = -6 Add '-288' to each side of the equation. 288 + -288 + 42n = -6 + -288 Combine like terms: 288 + -288 = 0 0 + 42n = -6 + -288 42n = -6 + -288 Combine like terms: -6 + -288 = -294 42n = -294 Divide each side by '42'. n = -7 Simplifying n = -7
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