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Simplifying -24p + -5(5 + -6p) = 4(p + -3) + -5 -24p + (5 * -5 + -6p * -5) = 4(p + -3) + -5 -24p + (-25 + 30p) = 4(p + -3) + -5 Reorder the terms: -25 + -24p + 30p = 4(p + -3) + -5 Combine like terms: -24p + 30p = 6p -25 + 6p = 4(p + -3) + -5 Reorder the terms: -25 + 6p = 4(-3 + p) + -5 -25 + 6p = (-3 * 4 + p * 4) + -5 -25 + 6p = (-12 + 4p) + -5 Reorder the terms: -25 + 6p = -12 + -5 + 4p Combine like terms: -12 + -5 = -17 -25 + 6p = -17 + 4p Solving -25 + 6p = -17 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -25 + 6p + -4p = -17 + 4p + -4p Combine like terms: 6p + -4p = 2p -25 + 2p = -17 + 4p + -4p Combine like terms: 4p + -4p = 0 -25 + 2p = -17 + 0 -25 + 2p = -17 Add '25' to each side of the equation. -25 + 25 + 2p = -17 + 25 Combine like terms: -25 + 25 = 0 0 + 2p = -17 + 25 2p = -17 + 25 Combine like terms: -17 + 25 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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