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Simplifying 5(7n + 4) = 5(-6n + 4) Reorder the terms: 5(4 + 7n) = 5(-6n + 4) (4 * 5 + 7n * 5) = 5(-6n + 4) (20 + 35n) = 5(-6n + 4) Reorder the terms: 20 + 35n = 5(4 + -6n) 20 + 35n = (4 * 5 + -6n * 5) 20 + 35n = (20 + -30n) Add '-20' to each side of the equation. 20 + -20 + 35n = 20 + -20 + -30n Combine like terms: 20 + -20 = 0 0 + 35n = 20 + -20 + -30n 35n = 20 + -20 + -30n Combine like terms: 20 + -20 = 0 35n = 0 + -30n 35n = -30n Solving 35n = -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 35n + 30n = -30n + 30n Combine like terms: 35n + 30n = 65n 65n = -30n + 30n Combine like terms: -30n + 30n = 0 65n = 0 Divide each side by '65'. n = 0 Simplifying n = 0
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