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Simplifying 8(6 + 3p) = 6(7 + -2p) (6 * 8 + 3p * 8) = 6(7 + -2p) (48 + 24p) = 6(7 + -2p) 48 + 24p = (7 * 6 + -2p * 6) 48 + 24p = (42 + -12p) Solving 48 + 24p = 42 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 48 + 24p + 12p = 42 + -12p + 12p Combine like terms: 24p + 12p = 36p 48 + 36p = 42 + -12p + 12p Combine like terms: -12p + 12p = 0 48 + 36p = 42 + 0 48 + 36p = 42 Add '-48' to each side of the equation. 48 + -48 + 36p = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 36p = 42 + -48 36p = 42 + -48 Combine like terms: 42 + -48 = -6 36p = -6 Divide each side by '36'. p = -0.1666666667 Simplifying p = -0.1666666667
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