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Simplifying 9p + 2 = 10(8p + 10) + -4(5 + 8p) Reorder the terms: 2 + 9p = 10(8p + 10) + -4(5 + 8p) Reorder the terms: 2 + 9p = 10(10 + 8p) + -4(5 + 8p) 2 + 9p = (10 * 10 + 8p * 10) + -4(5 + 8p) 2 + 9p = (100 + 80p) + -4(5 + 8p) 2 + 9p = 100 + 80p + (5 * -4 + 8p * -4) 2 + 9p = 100 + 80p + (-20 + -32p) Reorder the terms: 2 + 9p = 100 + -20 + 80p + -32p Combine like terms: 100 + -20 = 80 2 + 9p = 80 + 80p + -32p Combine like terms: 80p + -32p = 48p 2 + 9p = 80 + 48p Solving 2 + 9p = 80 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. 2 + 9p + -48p = 80 + 48p + -48p Combine like terms: 9p + -48p = -39p 2 + -39p = 80 + 48p + -48p Combine like terms: 48p + -48p = 0 2 + -39p = 80 + 0 2 + -39p = 80 Add '-2' to each side of the equation. 2 + -2 + -39p = 80 + -2 Combine like terms: 2 + -2 = 0 0 + -39p = 80 + -2 -39p = 80 + -2 Combine like terms: 80 + -2 = 78 -39p = 78 Divide each side by '-39'. p = -2 Simplifying p = -2
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