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Simplifying 6 + 6(-5 + 6n) = 84 6 + (-5 * 6 + 6n * 6) = 84 6 + (-30 + 36n) = 84 Combine like terms: 6 + -30 = -24 -24 + 36n = 84 Solving -24 + 36n = 84 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 36n = 84 + 24 Combine like terms: -24 + 24 = 0 0 + 36n = 84 + 24 36n = 84 + 24 Combine like terms: 84 + 24 = 108 36n = 108 Divide each side by '36'. n = 3 Simplifying n = 3
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