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Simplifying 7p + 21 + 9 = 5p + -10 + -3p Reorder the terms: 21 + 9 + 7p = 5p + -10 + -3p Combine like terms: 21 + 9 = 30 30 + 7p = 5p + -10 + -3p Reorder the terms: 30 + 7p = -10 + 5p + -3p Combine like terms: 5p + -3p = 2p 30 + 7p = -10 + 2p Solving 30 + 7p = -10 + 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. 30 + 7p + -2p = -10 + 2p + -2p Combine like terms: 7p + -2p = 5p 30 + 5p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 30 + 5p = -10 + 0 30 + 5p = -10 Add '-30' to each side of the equation. 30 + -30 + 5p = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 5p = -10 + -30 5p = -10 + -30 Combine like terms: -10 + -30 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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