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Simplifying -6 + 6(-5 + 7n) = 258 -6 + (-5 * 6 + 7n * 6) = 258 -6 + (-30 + 42n) = 258 Combine like terms: -6 + -30 = -36 -36 + 42n = 258 Solving -36 + 42n = 258 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 42n = 258 + 36 Combine like terms: -36 + 36 = 0 0 + 42n = 258 + 36 42n = 258 + 36 Combine like terms: 258 + 36 = 294 42n = 294 Divide each side by '42'. n = 7 Simplifying n = 7
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