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Simplifying -3(p + -8) = 6p + 24 Reorder the terms: -3(-8 + p) = 6p + 24 (-8 * -3 + p * -3) = 6p + 24 (24 + -3p) = 6p + 24 Reorder the terms: 24 + -3p = 24 + 6p Add '-24' to each side of the equation. 24 + -24 + -3p = 24 + -24 + 6p Combine like terms: 24 + -24 = 0 0 + -3p = 24 + -24 + 6p -3p = 24 + -24 + 6p Combine like terms: 24 + -24 = 0 -3p = 0 + 6p -3p = 6p Solving -3p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -3p + -6p = 6p + -6p Combine like terms: -3p + -6p = -9p -9p = 6p + -6p Combine like terms: 6p + -6p = 0 -9p = 0 Divide each side by '-9'. p = 0 Simplifying p = 0
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