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Simplifying -4(1 + 6p) = 8(3p + -4) (1 * -4 + 6p * -4) = 8(3p + -4) (-4 + -24p) = 8(3p + -4) Reorder the terms: -4 + -24p = 8(-4 + 3p) -4 + -24p = (-4 * 8 + 3p * 8) -4 + -24p = (-32 + 24p) Solving -4 + -24p = -32 + 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. -4 + -24p + -24p = -32 + 24p + -24p Combine like terms: -24p + -24p = -48p -4 + -48p = -32 + 24p + -24p Combine like terms: 24p + -24p = 0 -4 + -48p = -32 + 0 -4 + -48p = -32 Add '4' to each side of the equation. -4 + 4 + -48p = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -48p = -32 + 4 -48p = -32 + 4 Combine like terms: -32 + 4 = -28 -48p = -28 Divide each side by '-48'. p = 0.5833333333 Simplifying p = 0.5833333333
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