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Simplifying 20 = 2(p + -8) + 12 Reorder the terms: 20 = 2(-8 + p) + 12 20 = (-8 * 2 + p * 2) + 12 20 = (-16 + 2p) + 12 Reorder the terms: 20 = -16 + 12 + 2p Combine like terms: -16 + 12 = -4 20 = -4 + 2p Solving 20 = -4 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 20 + -2p = -4 + 2p + -2p Combine like terms: 2p + -2p = 0 20 + -2p = -4 + 0 20 + -2p = -4 Add '-20' to each side of the equation. 20 + -20 + -2p = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -2p = -4 + -20 -2p = -4 + -20 Combine like terms: -4 + -20 = -24 -2p = -24 Divide each side by '-2'. p = 12 Simplifying p = 12
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