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Simplifying 7(2n + -3) + 5(6 + 6n) = 0 Reorder the terms: 7(-3 + 2n) + 5(6 + 6n) = 0 (-3 * 7 + 2n * 7) + 5(6 + 6n) = 0 (-21 + 14n) + 5(6 + 6n) = 0 -21 + 14n + (6 * 5 + 6n * 5) = 0 -21 + 14n + (30 + 30n) = 0 Reorder the terms: -21 + 30 + 14n + 30n = 0 Combine like terms: -21 + 30 = 9 9 + 14n + 30n = 0 Combine like terms: 14n + 30n = 44n 9 + 44n = 0 Solving 9 + 44n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 44n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 44n = 0 + -9 44n = 0 + -9 Combine like terms: 0 + -9 = -9 44n = -9 Divide each side by '44'. n = -0.2045454545 Simplifying n = -0.2045454545
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