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Simplifying -24p + -5(5 + -6p) = 3(p + -6) + -4 -24p + (5 * -5 + -6p * -5) = 3(p + -6) + -4 -24p + (-25 + 30p) = 3(p + -6) + -4 Reorder the terms: -25 + -24p + 30p = 3(p + -6) + -4 Combine like terms: -24p + 30p = 6p -25 + 6p = 3(p + -6) + -4 Reorder the terms: -25 + 6p = 3(-6 + p) + -4 -25 + 6p = (-6 * 3 + p * 3) + -4 -25 + 6p = (-18 + 3p) + -4 Reorder the terms: -25 + 6p = -18 + -4 + 3p Combine like terms: -18 + -4 = -22 -25 + 6p = -22 + 3p Solving -25 + 6p = -22 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -25 + 6p + -3p = -22 + 3p + -3p Combine like terms: 6p + -3p = 3p -25 + 3p = -22 + 3p + -3p Combine like terms: 3p + -3p = 0 -25 + 3p = -22 + 0 -25 + 3p = -22 Add '25' to each side of the equation. -25 + 25 + 3p = -22 + 25 Combine like terms: -25 + 25 = 0 0 + 3p = -22 + 25 3p = -22 + 25 Combine like terms: -22 + 25 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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