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Simplifying 3p + 4p + -10 = 8p + 2p + 11 Reorder the terms: -10 + 3p + 4p = 8p + 2p + 11 Combine like terms: 3p + 4p = 7p -10 + 7p = 8p + 2p + 11 Reorder the terms: -10 + 7p = 11 + 8p + 2p Combine like terms: 8p + 2p = 10p -10 + 7p = 11 + 10p Solving -10 + 7p = 11 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -10 + 7p + -10p = 11 + 10p + -10p Combine like terms: 7p + -10p = -3p -10 + -3p = 11 + 10p + -10p Combine like terms: 10p + -10p = 0 -10 + -3p = 11 + 0 -10 + -3p = 11 Add '10' to each side of the equation. -10 + 10 + -3p = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -3p = 11 + 10 -3p = 11 + 10 Combine like terms: 11 + 10 = 21 -3p = 21 Divide each side by '-3'. p = -7 Simplifying p = -7
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