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Simplifying 7p + 5 + -3p + 19 = 10p + 15 + -3p Reorder the terms: 5 + 19 + 7p + -3p = 10p + 15 + -3p Combine like terms: 5 + 19 = 24 24 + 7p + -3p = 10p + 15 + -3p Combine like terms: 7p + -3p = 4p 24 + 4p = 10p + 15 + -3p Reorder the terms: 24 + 4p = 15 + 10p + -3p Combine like terms: 10p + -3p = 7p 24 + 4p = 15 + 7p Solving 24 + 4p = 15 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 24 + 4p + -7p = 15 + 7p + -7p Combine like terms: 4p + -7p = -3p 24 + -3p = 15 + 7p + -7p Combine like terms: 7p + -7p = 0 24 + -3p = 15 + 0 24 + -3p = 15 Add '-24' to each side of the equation. 24 + -24 + -3p = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -3p = 15 + -24 -3p = 15 + -24 Combine like terms: 15 + -24 = -9 -3p = -9 Divide each side by '-3'. p = 3 Simplifying p = 3
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