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Simplifying 3p + 19 = 29 + -7p Reorder the terms: 19 + 3p = 29 + -7p Solving 19 + 3p = 29 + -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. 19 + 3p + 7p = 29 + -7p + 7p Combine like terms: 3p + 7p = 10p 19 + 10p = 29 + -7p + 7p Combine like terms: -7p + 7p = 0 19 + 10p = 29 + 0 19 + 10p = 29 Add '-19' to each side of the equation. 19 + -19 + 10p = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 10p = 29 + -19 10p = 29 + -19 Combine like terms: 29 + -19 = 10 10p = 10 Divide each side by '10'. p = 1 Simplifying p = 1
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