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Simplifying 9 + -5(n + 6) = 32 Reorder the terms: 9 + -5(6 + n) = 32 9 + (6 * -5 + n * -5) = 32 9 + (-30 + -5n) = 32 Combine like terms: 9 + -30 = -21 -21 + -5n = 32 Solving -21 + -5n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5n = 32 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = 32 + 21 -5n = 32 + 21 Combine like terms: 32 + 21 = 53 -5n = 53 Divide each side by '-5'. n = -10.6 Simplifying n = -10.6
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