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Simplifying -5p + 24 = -3p + -6(6p + -4) Reorder the terms: 24 + -5p = -3p + -6(6p + -4) Reorder the terms: 24 + -5p = -3p + -6(-4 + 6p) 24 + -5p = -3p + (-4 * -6 + 6p * -6) 24 + -5p = -3p + (24 + -36p) Reorder the terms: 24 + -5p = 24 + -3p + -36p Combine like terms: -3p + -36p = -39p 24 + -5p = 24 + -39p Add '-24' to each side of the equation. 24 + -24 + -5p = 24 + -24 + -39p Combine like terms: 24 + -24 = 0 0 + -5p = 24 + -24 + -39p -5p = 24 + -24 + -39p Combine like terms: 24 + -24 = 0 -5p = 0 + -39p -5p = -39p Solving -5p = -39p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '39p' to each side of the equation. -5p + 39p = -39p + 39p Combine like terms: -5p + 39p = 34p 34p = -39p + 39p Combine like terms: -39p + 39p = 0 34p = 0 Divide each side by '34'. p = 0 Simplifying p = 0
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