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Simplifying 6(2n + -5) = 42 Reorder the terms: 6(-5 + 2n) = 42 (-5 * 6 + 2n * 6) = 42 (-30 + 12n) = 42 Solving -30 + 12n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12n = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 12n = 42 + 30 12n = 42 + 30 Combine like terms: 42 + 30 = 72 12n = 72 Divide each side by '12'. n = 6 Simplifying n = 6
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