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Simplifying 8 + 2p = 6(6 + 5p) 8 + 2p = (6 * 6 + 5p * 6) 8 + 2p = (36 + 30p) Solving 8 + 2p = 36 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 8 + 2p + -30p = 36 + 30p + -30p Combine like terms: 2p + -30p = -28p 8 + -28p = 36 + 30p + -30p Combine like terms: 30p + -30p = 0 8 + -28p = 36 + 0 8 + -28p = 36 Add '-8' to each side of the equation. 8 + -8 + -28p = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -28p = 36 + -8 -28p = 36 + -8 Combine like terms: 36 + -8 = 28 -28p = 28 Divide each side by '-28'. p = -1 Simplifying p = -1
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