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Simplifying 10 + 2p = 15 + -3p Solving 10 + 2p = 15 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 10 + 2p + 3p = 15 + -3p + 3p Combine like terms: 2p + 3p = 5p 10 + 5p = 15 + -3p + 3p Combine like terms: -3p + 3p = 0 10 + 5p = 15 + 0 10 + 5p = 15 Add '-10' to each side of the equation. 10 + -10 + 5p = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 5p = 15 + -10 5p = 15 + -10 Combine like terms: 15 + -10 = 5 5p = 5 Divide each side by '5'. p = 1 Simplifying p = 1
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