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Simplifying 4 + 8p = 2(6 + 5p) 4 + 8p = (6 * 2 + 5p * 2) 4 + 8p = (12 + 10p) Solving 4 + 8p = 12 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 4 + 8p + -10p = 12 + 10p + -10p Combine like terms: 8p + -10p = -2p 4 + -2p = 12 + 10p + -10p Combine like terms: 10p + -10p = 0 4 + -2p = 12 + 0 4 + -2p = 12 Add '-4' to each side of the equation. 4 + -4 + -2p = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2p = 12 + -4 -2p = 12 + -4 Combine like terms: 12 + -4 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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