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Simplifying 7(5n + -8) + 6(4 + 5n) = 0 Reorder the terms: 7(-8 + 5n) + 6(4 + 5n) = 0 (-8 * 7 + 5n * 7) + 6(4 + 5n) = 0 (-56 + 35n) + 6(4 + 5n) = 0 -56 + 35n + (4 * 6 + 5n * 6) = 0 -56 + 35n + (24 + 30n) = 0 Reorder the terms: -56 + 24 + 35n + 30n = 0 Combine like terms: -56 + 24 = -32 -32 + 35n + 30n = 0 Combine like terms: 35n + 30n = 65n -32 + 65n = 0 Solving -32 + 65n = 0 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 + 65n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 65n = 0 + 32 65n = 0 + 32 Combine like terms: 0 + 32 = 32 65n = 32 Divide each side by '65'. n = 0.4923076923 Simplifying n = 0.4923076923
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