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Simplifying -24 + -3p = 3 + 8(5 + 8p) -24 + -3p = 3 + (5 * 8 + 8p * 8) -24 + -3p = 3 + (40 + 64p) Combine like terms: 3 + 40 = 43 -24 + -3p = 43 + 64p Solving -24 + -3p = 43 + 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. -24 + -3p + -64p = 43 + 64p + -64p Combine like terms: -3p + -64p = -67p -24 + -67p = 43 + 64p + -64p Combine like terms: 64p + -64p = 0 -24 + -67p = 43 + 0 -24 + -67p = 43 Add '24' to each side of the equation. -24 + 24 + -67p = 43 + 24 Combine like terms: -24 + 24 = 0 0 + -67p = 43 + 24 -67p = 43 + 24 Combine like terms: 43 + 24 = 67 -67p = 67 Divide each side by '-67'. p = -1 Simplifying p = -1
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