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Simplifying 3p + 2(4p + -6) + -1(9p + 12) = 0 Reorder the terms: 3p + 2(-6 + 4p) + -1(9p + 12) = 0 3p + (-6 * 2 + 4p * 2) + -1(9p + 12) = 0 3p + (-12 + 8p) + -1(9p + 12) = 0 Reorder the terms: 3p + -12 + 8p + -1(12 + 9p) = 0 3p + -12 + 8p + (12 * -1 + 9p * -1) = 0 3p + -12 + 8p + (-12 + -9p) = 0 Reorder the terms: -12 + -12 + 3p + 8p + -9p = 0 Combine like terms: -12 + -12 = -24 -24 + 3p + 8p + -9p = 0 Combine like terms: 3p + 8p = 11p -24 + 11p + -9p = 0 Combine like terms: 11p + -9p = 2p -24 + 2p = 0 Solving -24 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2p = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = 0 + 24 2p = 0 + 24 Combine like terms: 0 + 24 = 24 2p = 24 Divide each side by '2'. p = 12 Simplifying p = 12
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