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Simplifying 14 + 20p + -2 = 18 + 3(8p + 18) Reorder the terms: 14 + -2 + 20p = 18 + 3(8p + 18) Combine like terms: 14 + -2 = 12 12 + 20p = 18 + 3(8p + 18) Reorder the terms: 12 + 20p = 18 + 3(18 + 8p) 12 + 20p = 18 + (18 * 3 + 8p * 3) 12 + 20p = 18 + (54 + 24p) Combine like terms: 18 + 54 = 72 12 + 20p = 72 + 24p Solving 12 + 20p = 72 + 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. 12 + 20p + -24p = 72 + 24p + -24p Combine like terms: 20p + -24p = -4p 12 + -4p = 72 + 24p + -24p Combine like terms: 24p + -24p = 0 12 + -4p = 72 + 0 12 + -4p = 72 Add '-12' to each side of the equation. 12 + -12 + -4p = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = 72 + -12 -4p = 72 + -12 Combine like terms: 72 + -12 = 60 -4p = 60 Divide each side by '-4'. p = -15 Simplifying p = -15
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