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Simplifying 2(3n + 3p) + -2(2n + 4p) = 0 (3n * 2 + 3p * 2) + -2(2n + 4p) = 0 (6n + 6p) + -2(2n + 4p) = 0 6n + 6p + (2n * -2 + 4p * -2) = 0 6n + 6p + (-4n + -8p) = 0 Reorder the terms: 6n + -4n + 6p + -8p = 0 Combine like terms: 6n + -4n = 2n 2n + 6p + -8p = 0 Combine like terms: 6p + -8p = -2p 2n + -2p = 0 Solving 2n + -2p = 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. 2n + -2p + 2p = 0 + 2p Combine like terms: -2p + 2p = 0 2n + 0 = 0 + 2p 2n = 0 + 2p Remove the zero: 2n = 2p Divide each side by '2'. n = p Simplifying n = p
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