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Simplifying 5p + -6 + 2p + 8 = 14 + 3p Reorder the terms: -6 + 8 + 5p + 2p = 14 + 3p Combine like terms: -6 + 8 = 2 2 + 5p + 2p = 14 + 3p Combine like terms: 5p + 2p = 7p 2 + 7p = 14 + 3p Solving 2 + 7p = 14 + 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. 2 + 7p + -3p = 14 + 3p + -3p Combine like terms: 7p + -3p = 4p 2 + 4p = 14 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + 4p = 14 + 0 2 + 4p = 14 Add '-2' to each side of the equation. 2 + -2 + 4p = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4p = 14 + -2 4p = 14 + -2 Combine like terms: 14 + -2 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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