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Simplifying -20 + 4p + -12 = 100 + -2p Reorder the terms: -20 + -12 + 4p = 100 + -2p Combine like terms: -20 + -12 = -32 -32 + 4p = 100 + -2p Solving -32 + 4p = 100 + -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. -32 + 4p + 2p = 100 + -2p + 2p Combine like terms: 4p + 2p = 6p -32 + 6p = 100 + -2p + 2p Combine like terms: -2p + 2p = 0 -32 + 6p = 100 + 0 -32 + 6p = 100 Add '32' to each side of the equation. -32 + 32 + 6p = 100 + 32 Combine like terms: -32 + 32 = 0 0 + 6p = 100 + 32 6p = 100 + 32 Combine like terms: 100 + 32 = 132 6p = 132 Divide each side by '6'. p = 22 Simplifying p = 22
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