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Simplifying 5(n + -3) + 6(2n + 12) = 0 Reorder the terms: 5(-3 + n) + 6(2n + 12) = 0 (-3 * 5 + n * 5) + 6(2n + 12) = 0 (-15 + 5n) + 6(2n + 12) = 0 Reorder the terms: -15 + 5n + 6(12 + 2n) = 0 -15 + 5n + (12 * 6 + 2n * 6) = 0 -15 + 5n + (72 + 12n) = 0 Reorder the terms: -15 + 72 + 5n + 12n = 0 Combine like terms: -15 + 72 = 57 57 + 5n + 12n = 0 Combine like terms: 5n + 12n = 17n 57 + 17n = 0 Solving 57 + 17n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 17n = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 17n = 0 + -57 17n = 0 + -57 Combine like terms: 0 + -57 = -57 17n = -57 Divide each side by '17'. n = -3.352941176 Simplifying n = -3.352941176
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