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Simplifying 8 + p = 22 + 3p Solving 8 + p = 22 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + p + -3p = 22 + 3p + -3p Combine like terms: p + -3p = -2p 8 + -2p = 22 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -2p = 22 + 0 8 + -2p = 22 Add '-8' to each side of the equation. 8 + -8 + -2p = 22 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 22 + -8 -2p = 22 + -8 Combine like terms: 22 + -8 = 14 -2p = 14 Divide each side by '-2'. p = -7 Simplifying p = -7
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