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Simplifying 20 + 8p + 12p = 2(12p + -20) + -20 Combine like terms: 8p + 12p = 20p 20 + 20p = 2(12p + -20) + -20 Reorder the terms: 20 + 20p = 2(-20 + 12p) + -20 20 + 20p = (-20 * 2 + 12p * 2) + -20 20 + 20p = (-40 + 24p) + -20 Reorder the terms: 20 + 20p = -40 + -20 + 24p Combine like terms: -40 + -20 = -60 20 + 20p = -60 + 24p Solving 20 + 20p = -60 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 20 + 20p + -24p = -60 + 24p + -24p Combine like terms: 20p + -24p = -4p 20 + -4p = -60 + 24p + -24p Combine like terms: 24p + -24p = 0 20 + -4p = -60 + 0 20 + -4p = -60 Add '-20' to each side of the equation. 20 + -20 + -4p = -60 + -20 Combine like terms: 20 + -20 = 0 0 + -4p = -60 + -20 -4p = -60 + -20 Combine like terms: -60 + -20 = -80 -4p = -80 Divide each side by '-4'. p = 20 Simplifying p = 20
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