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Simplifying -288 = 8 + -8(6p + -5) Reorder the terms: -288 = 8 + -8(-5 + 6p) -288 = 8 + (-5 * -8 + 6p * -8) -288 = 8 + (40 + -48p) Combine like terms: 8 + 40 = 48 -288 = 48 + -48p Solving -288 = 48 + -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. -288 + 48p = 48 + -48p + 48p Combine like terms: -48p + 48p = 0 -288 + 48p = 48 + 0 -288 + 48p = 48 Add '288' to each side of the equation. -288 + 288 + 48p = 48 + 288 Combine like terms: -288 + 288 = 0 0 + 48p = 48 + 288 48p = 48 + 288 Combine like terms: 48 + 288 = 336 48p = 336 Divide each side by '48'. p = 7 Simplifying p = 7
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