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Simplifying -6p + -24 = -6(-8 + 5p) Reorder the terms: -24 + -6p = -6(-8 + 5p) -24 + -6p = (-8 * -6 + 5p * -6) -24 + -6p = (48 + -30p) Solving -24 + -6p = 48 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -24 + -6p + 30p = 48 + -30p + 30p Combine like terms: -6p + 30p = 24p -24 + 24p = 48 + -30p + 30p Combine like terms: -30p + 30p = 0 -24 + 24p = 48 + 0 -24 + 24p = 48 Add '24' to each side of the equation. -24 + 24 + 24p = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 24p = 48 + 24 24p = 48 + 24 Combine like terms: 48 + 24 = 72 24p = 72 Divide each side by '24'. p = 3 Simplifying p = 3
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