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Simplifying -282 = 6(1 + -8p) -282 = (1 * 6 + -8p * 6) -282 = (6 + -48p) Solving -282 = 6 + -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. -282 + 48p = 6 + -48p + 48p Combine like terms: -48p + 48p = 0 -282 + 48p = 6 + 0 -282 + 48p = 6 Add '282' to each side of the equation. -282 + 282 + 48p = 6 + 282 Combine like terms: -282 + 282 = 0 0 + 48p = 6 + 282 48p = 6 + 282 Combine like terms: 6 + 282 = 288 48p = 288 Divide each side by '48'. p = 6 Simplifying p = 6
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