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Simplifying 8 + 5p + -3 = 8p + 29 + -6p Reorder the terms: 8 + -3 + 5p = 8p + 29 + -6p Combine like terms: 8 + -3 = 5 5 + 5p = 8p + 29 + -6p Reorder the terms: 5 + 5p = 29 + 8p + -6p Combine like terms: 8p + -6p = 2p 5 + 5p = 29 + 2p Solving 5 + 5p = 29 + 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. 5 + 5p + -2p = 29 + 2p + -2p Combine like terms: 5p + -2p = 3p 5 + 3p = 29 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + 3p = 29 + 0 5 + 3p = 29 Add '-5' to each side of the equation. 5 + -5 + 3p = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 29 + -5 3p = 29 + -5 Combine like terms: 29 + -5 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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