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Simplifying 6(-5 + n) + -9 = -21 (-5 * 6 + n * 6) + -9 = -21 (-30 + 6n) + -9 = -21 Reorder the terms: -30 + -9 + 6n = -21 Combine like terms: -30 + -9 = -39 -39 + 6n = -21 Solving -39 + 6n = -21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 6n = -21 + 39 Combine like terms: -39 + 39 = 0 0 + 6n = -21 + 39 6n = -21 + 39 Combine like terms: -21 + 39 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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