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Simplifying -3(3p + -4) = 2(p + 8) Reorder the terms: -3(-4 + 3p) = 2(p + 8) (-4 * -3 + 3p * -3) = 2(p + 8) (12 + -9p) = 2(p + 8) Reorder the terms: 12 + -9p = 2(8 + p) 12 + -9p = (8 * 2 + p * 2) 12 + -9p = (16 + 2p) Solving 12 + -9p = 16 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 12 + -9p + -2p = 16 + 2p + -2p Combine like terms: -9p + -2p = -11p 12 + -11p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + -11p = 16 + 0 12 + -11p = 16 Add '-12' to each side of the equation. 12 + -12 + -11p = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -11p = 16 + -12 -11p = 16 + -12 Combine like terms: 16 + -12 = 4 -11p = 4 Divide each side by '-11'. p = -0.3636363636 Simplifying p = -0.3636363636
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