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Simplifying 3(2P + 8) + -2(P + -6) = 0 Reorder the terms: 3(8 + 2P) + -2(P + -6) = 0 (8 * 3 + 2P * 3) + -2(P + -6) = 0 (24 + 6P) + -2(P + -6) = 0 Reorder the terms: 24 + 6P + -2(-6 + P) = 0 24 + 6P + (-6 * -2 + P * -2) = 0 24 + 6P + (12 + -2P) = 0 Reorder the terms: 24 + 12 + 6P + -2P = 0 Combine like terms: 24 + 12 = 36 36 + 6P + -2P = 0 Combine like terms: 6P + -2P = 4P 36 + 4P = 0 Solving 36 + 4P = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4P = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4P = 0 + -36 4P = 0 + -36 Combine like terms: 0 + -36 = -36 4P = -36 Divide each side by '4'. P = -9 Simplifying P = -9
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