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Simplifying 3p(3p + -8) + -8 = 9p(p + -3) + 4 Reorder the terms: 3p(-8 + 3p) + -8 = 9p(p + -3) + 4 (-8 * 3p + 3p * 3p) + -8 = 9p(p + -3) + 4 (-24p + 9p2) + -8 = 9p(p + -3) + 4 Reorder the terms: -8 + -24p + 9p2 = 9p(p + -3) + 4 Reorder the terms: -8 + -24p + 9p2 = 9p(-3 + p) + 4 -8 + -24p + 9p2 = (-3 * 9p + p * 9p) + 4 -8 + -24p + 9p2 = (-27p + 9p2) + 4 Reorder the terms: -8 + -24p + 9p2 = 4 + -27p + 9p2 Add '-9p2' to each side of the equation. -8 + -24p + 9p2 + -9p2 = 4 + -27p + 9p2 + -9p2 Combine like terms: 9p2 + -9p2 = 0 -8 + -24p + 0 = 4 + -27p + 9p2 + -9p2 -8 + -24p = 4 + -27p + 9p2 + -9p2 Combine like terms: 9p2 + -9p2 = 0 -8 + -24p = 4 + -27p + 0 -8 + -24p = 4 + -27p Solving -8 + -24p = 4 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -8 + -24p + 27p = 4 + -27p + 27p Combine like terms: -24p + 27p = 3p -8 + 3p = 4 + -27p + 27p Combine like terms: -27p + 27p = 0 -8 + 3p = 4 + 0 -8 + 3p = 4 Add '8' to each side of the equation. -8 + 8 + 3p = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = 4 + 8 3p = 4 + 8 Combine like terms: 4 + 8 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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