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Simplifying 5 + 3(n + 9) = -3 Reorder the terms: 5 + 3(9 + n) = -3 5 + (9 * 3 + n * 3) = -3 5 + (27 + 3n) = -3 Combine like terms: 5 + 27 = 32 32 + 3n = -3 Solving 32 + 3n = -3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3n = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 3n = -3 + -32 3n = -3 + -32 Combine like terms: -3 + -32 = -35 3n = -35 Divide each side by '3'. n = -11.66666667 Simplifying n = -11.66666667
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