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Simplifying 3 + -6(1 + n) + -9 = -31 3 + (1 * -6 + n * -6) + -9 = -31 3 + (-6 + -6n) + -9 = -31 Reorder the terms: 3 + -6 + -9 + -6n = -31 Combine like terms: 3 + -6 = -3 -3 + -9 + -6n = -31 Combine like terms: -3 + -9 = -12 -12 + -6n = -31 Solving -12 + -6n = -31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -6n = -31 + 12 Combine like terms: -12 + 12 = 0 0 + -6n = -31 + 12 -6n = -31 + 12 Combine like terms: -31 + 12 = -19 -6n = -19 Divide each side by '-6'. n = 3.166666667 Simplifying n = 3.166666667
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