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Simplifying 9 + -2p + -3 + 10p = -4p + 29 + -5 + 6p Reorder the terms: 9 + -3 + -2p + 10p = -4p + 29 + -5 + 6p Combine like terms: 9 + -3 = 6 6 + -2p + 10p = -4p + 29 + -5 + 6p Combine like terms: -2p + 10p = 8p 6 + 8p = -4p + 29 + -5 + 6p Reorder the terms: 6 + 8p = 29 + -5 + -4p + 6p Combine like terms: 29 + -5 = 24 6 + 8p = 24 + -4p + 6p Combine like terms: -4p + 6p = 2p 6 + 8p = 24 + 2p Solving 6 + 8p = 24 + 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. 6 + 8p + -2p = 24 + 2p + -2p Combine like terms: 8p + -2p = 6p 6 + 6p = 24 + 2p + -2p Combine like terms: 2p + -2p = 0 6 + 6p = 24 + 0 6 + 6p = 24 Add '-6' to each side of the equation. 6 + -6 + 6p = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6p = 24 + -6 6p = 24 + -6 Combine like terms: 24 + -6 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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