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Simplifying 8p + 8 = 2(5p + 8) + -6 Reorder the terms: 8 + 8p = 2(5p + 8) + -6 Reorder the terms: 8 + 8p = 2(8 + 5p) + -6 8 + 8p = (8 * 2 + 5p * 2) + -6 8 + 8p = (16 + 10p) + -6 Reorder the terms: 8 + 8p = 16 + -6 + 10p Combine like terms: 16 + -6 = 10 8 + 8p = 10 + 10p Solving 8 + 8p = 10 + 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. 8 + 8p + -10p = 10 + 10p + -10p Combine like terms: 8p + -10p = -2p 8 + -2p = 10 + 10p + -10p Combine like terms: 10p + -10p = 0 8 + -2p = 10 + 0 8 + -2p = 10 Add '-8' to each side of the equation. 8 + -8 + -2p = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 10 + -8 -2p = 10 + -8 Combine like terms: 10 + -8 = 2 -2p = 2 Divide each side by '-2'. p = -1 Simplifying p = -1
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