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Simplifying 5p + 12 + -8 + 2p = 6p + 24 + -2 Reorder the terms: 12 + -8 + 5p + 2p = 6p + 24 + -2 Combine like terms: 12 + -8 = 4 4 + 5p + 2p = 6p + 24 + -2 Combine like terms: 5p + 2p = 7p 4 + 7p = 6p + 24 + -2 Reorder the terms: 4 + 7p = 24 + -2 + 6p Combine like terms: 24 + -2 = 22 4 + 7p = 22 + 6p Solving 4 + 7p = 22 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 4 + 7p + -6p = 22 + 6p + -6p Combine like terms: 7p + -6p = 1p 4 + 1p = 22 + 6p + -6p Combine like terms: 6p + -6p = 0 4 + 1p = 22 + 0 4 + 1p = 22 Add '-4' to each side of the equation. 4 + -4 + 1p = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 1p = 22 + -4 1p = 22 + -4 Combine like terms: 22 + -4 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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