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Simplifying 33 + 8p = -8(-2 + -3p) 33 + 8p = (-2 * -8 + -3p * -8) 33 + 8p = (16 + 24p) Solving 33 + 8p = 16 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 33 + 8p + -24p = 16 + 24p + -24p Combine like terms: 8p + -24p = -16p 33 + -16p = 16 + 24p + -24p Combine like terms: 24p + -24p = 0 33 + -16p = 16 + 0 33 + -16p = 16 Add '-33' to each side of the equation. 33 + -33 + -16p = 16 + -33 Combine like terms: 33 + -33 = 0 0 + -16p = 16 + -33 -16p = 16 + -33 Combine like terms: 16 + -33 = -17 -16p = -17 Divide each side by '-16'. p = 1.0625 Simplifying p = 1.0625
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