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Simplifying 3p + -10 + 12p = 8p + 11 Reorder the terms: -10 + 3p + 12p = 8p + 11 Combine like terms: 3p + 12p = 15p -10 + 15p = 8p + 11 Reorder the terms: -10 + 15p = 11 + 8p Solving -10 + 15p = 11 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -10 + 15p + -8p = 11 + 8p + -8p Combine like terms: 15p + -8p = 7p -10 + 7p = 11 + 8p + -8p Combine like terms: 8p + -8p = 0 -10 + 7p = 11 + 0 -10 + 7p = 11 Add '10' to each side of the equation. -10 + 10 + 7p = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 7p = 11 + 10 7p = 11 + 10 Combine like terms: 11 + 10 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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