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Simplifying 7p + -4(-5p + 7) = 29 + 8p Reorder the terms: 7p + -4(7 + -5p) = 29 + 8p 7p + (7 * -4 + -5p * -4) = 29 + 8p 7p + (-28 + 20p) = 29 + 8p Reorder the terms: -28 + 7p + 20p = 29 + 8p Combine like terms: 7p + 20p = 27p -28 + 27p = 29 + 8p Solving -28 + 27p = 29 + 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. -28 + 27p + -8p = 29 + 8p + -8p Combine like terms: 27p + -8p = 19p -28 + 19p = 29 + 8p + -8p Combine like terms: 8p + -8p = 0 -28 + 19p = 29 + 0 -28 + 19p = 29 Add '28' to each side of the equation. -28 + 28 + 19p = 29 + 28 Combine like terms: -28 + 28 = 0 0 + 19p = 29 + 28 19p = 29 + 28 Combine like terms: 29 + 28 = 57 19p = 57 Divide each side by '19'. p = 3 Simplifying p = 3
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