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Simplifying 30p + -10 = 214 + -2p Reorder the terms: -10 + 30p = 214 + -2p Solving -10 + 30p = 214 + -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. -10 + 30p + 2p = 214 + -2p + 2p Combine like terms: 30p + 2p = 32p -10 + 32p = 214 + -2p + 2p Combine like terms: -2p + 2p = 0 -10 + 32p = 214 + 0 -10 + 32p = 214 Add '10' to each side of the equation. -10 + 10 + 32p = 214 + 10 Combine like terms: -10 + 10 = 0 0 + 32p = 214 + 10 32p = 214 + 10 Combine like terms: 214 + 10 = 224 32p = 224 Divide each side by '32'. p = 7 Simplifying p = 7
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