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Simplifying 3 + 6p + -2 = 5p + 29 + -3p Reorder the terms: 3 + -2 + 6p = 5p + 29 + -3p Combine like terms: 3 + -2 = 1 1 + 6p = 5p + 29 + -3p Reorder the terms: 1 + 6p = 29 + 5p + -3p Combine like terms: 5p + -3p = 2p 1 + 6p = 29 + 2p Solving 1 + 6p = 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. 1 + 6p + -2p = 29 + 2p + -2p Combine like terms: 6p + -2p = 4p 1 + 4p = 29 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 4p = 29 + 0 1 + 4p = 29 Add '-1' to each side of the equation. 1 + -1 + 4p = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 29 + -1 4p = 29 + -1 Combine like terms: 29 + -1 = 28 4p = 28 Divide each side by '4'. p = 7 Simplifying p = 7
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