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Simplifying 10n + -6p + 3q + -4n + 8p + -6q = 0 Reorder the terms: 10n + -4n + -6p + 8p + 3q + -6q = 0 Combine like terms: 10n + -4n = 6n 6n + -6p + 8p + 3q + -6q = 0 Combine like terms: -6p + 8p = 2p 6n + 2p + 3q + -6q = 0 Combine like terms: 3q + -6q = -3q 6n + 2p + -3q = 0 Solving 6n + 2p + -3q = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2p' to each side of the equation. 6n + 2p + -2p + -3q = 0 + -2p Combine like terms: 2p + -2p = 0 6n + 0 + -3q = 0 + -2p 6n + -3q = 0 + -2p Remove the zero: 6n + -3q = -2p Add '3q' to each side of the equation. 6n + -3q + 3q = -2p + 3q Combine like terms: -3q + 3q = 0 6n + 0 = -2p + 3q 6n = -2p + 3q Divide each side by '6'. n = -0.3333333333p + 0.5q Simplifying n = -0.3333333333p + 0.5q
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