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Simplifying 8 + p = 5(4 + 2p) + -5p 8 + p = (4 * 5 + 2p * 5) + -5p 8 + p = (20 + 10p) + -5p Combine like terms: 10p + -5p = 5p 8 + p = 20 + 5p Solving 8 + p = 20 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 8 + p + -5p = 20 + 5p + -5p Combine like terms: p + -5p = -4p 8 + -4p = 20 + 5p + -5p Combine like terms: 5p + -5p = 0 8 + -4p = 20 + 0 8 + -4p = 20 Add '-8' to each side of the equation. 8 + -8 + -4p = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = 20 + -8 -4p = 20 + -8 Combine like terms: 20 + -8 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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