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Simplifying 20 + 2p = 8 + 6(-8 + 2p) 20 + 2p = 8 + (-8 * 6 + 2p * 6) 20 + 2p = 8 + (-48 + 12p) Combine like terms: 8 + -48 = -40 20 + 2p = -40 + 12p Solving 20 + 2p = -40 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 20 + 2p + -12p = -40 + 12p + -12p Combine like terms: 2p + -12p = -10p 20 + -10p = -40 + 12p + -12p Combine like terms: 12p + -12p = 0 20 + -10p = -40 + 0 20 + -10p = -40 Add '-20' to each side of the equation. 20 + -20 + -10p = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -10p = -40 + -20 -10p = -40 + -20 Combine like terms: -40 + -20 = -60 -10p = -60 Divide each side by '-10'. p = 6 Simplifying p = 6
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