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Simplifying -12 = -2p + 0.2(20 + -6p) -12 = -2p + (20 * 0.2 + -6p * 0.2) -12 = -2p + (4 + -1.2p) Reorder the terms: -12 = 4 + -2p + -1.2p Combine like terms: -2p + -1.2p = -3.2p -12 = 4 + -3.2p Solving -12 = 4 + -3.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3.2p' to each side of the equation. -12 + 3.2p = 4 + -3.2p + 3.2p Combine like terms: -3.2p + 3.2p = 0.0 -12 + 3.2p = 4 + 0.0 -12 + 3.2p = 4 Add '12' to each side of the equation. -12 + 12 + 3.2p = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 3.2p = 4 + 12 3.2p = 4 + 12 Combine like terms: 4 + 12 = 16 3.2p = 16 Divide each side by '3.2'. p = 5 Simplifying p = 5
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