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Simplifying 6 + 2p + -24p = 6 + -3p + 21 Combine like terms: 2p + -24p = -22p 6 + -22p = 6 + -3p + 21 Reorder the terms: 6 + -22p = 6 + 21 + -3p Combine like terms: 6 + 21 = 27 6 + -22p = 27 + -3p Solving 6 + -22p = 27 + -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. 6 + -22p + 3p = 27 + -3p + 3p Combine like terms: -22p + 3p = -19p 6 + -19p = 27 + -3p + 3p Combine like terms: -3p + 3p = 0 6 + -19p = 27 + 0 6 + -19p = 27 Add '-6' to each side of the equation. 6 + -6 + -19p = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -19p = 27 + -6 -19p = 27 + -6 Combine like terms: 27 + -6 = 21 -19p = 21 Divide each side by '-19'. p = -1.105263158 Simplifying p = -1.105263158
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