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Simplifying 4(9p + 8) = -2(6p + -56) Reorder the terms: 4(8 + 9p) = -2(6p + -56) (8 * 4 + 9p * 4) = -2(6p + -56) (32 + 36p) = -2(6p + -56) Reorder the terms: 32 + 36p = -2(-56 + 6p) 32 + 36p = (-56 * -2 + 6p * -2) 32 + 36p = (112 + -12p) Solving 32 + 36p = 112 + -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. 32 + 36p + 12p = 112 + -12p + 12p Combine like terms: 36p + 12p = 48p 32 + 48p = 112 + -12p + 12p Combine like terms: -12p + 12p = 0 32 + 48p = 112 + 0 32 + 48p = 112 Add '-32' to each side of the equation. 32 + -32 + 48p = 112 + -32 Combine like terms: 32 + -32 = 0 0 + 48p = 112 + -32 48p = 112 + -32 Combine like terms: 112 + -32 = 80 48p = 80 Divide each side by '48'. p = 1.666666667 Simplifying p = 1.666666667
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