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Simplifying -9p + -4(3 + -4p) = 2(p + -2) + -8 -9p + (3 * -4 + -4p * -4) = 2(p + -2) + -8 -9p + (-12 + 16p) = 2(p + -2) + -8 Reorder the terms: -12 + -9p + 16p = 2(p + -2) + -8 Combine like terms: -9p + 16p = 7p -12 + 7p = 2(p + -2) + -8 Reorder the terms: -12 + 7p = 2(-2 + p) + -8 -12 + 7p = (-2 * 2 + p * 2) + -8 -12 + 7p = (-4 + 2p) + -8 Reorder the terms: -12 + 7p = -4 + -8 + 2p Combine like terms: -4 + -8 = -12 -12 + 7p = -12 + 2p Add '12' to each side of the equation. -12 + 12 + 7p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 0 + 7p = -12 + 12 + 2p 7p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 7p = 0 + 2p 7p = 2p Solving 7p = 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. 7p + -2p = 2p + -2p Combine like terms: 7p + -2p = 5p 5p = 2p + -2p Combine like terms: 2p + -2p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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