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Simplifying 2(p + 2) = -1.8 + -2 + -0.2(p + 5) Reorder the terms: 2(2 + p) = -1.8 + -2 + -0.2(p + 5) (2 * 2 + p * 2) = -1.8 + -2 + -0.2(p + 5) (4 + 2p) = -1.8 + -2 + -0.2(p + 5) Reorder the terms: 4 + 2p = -1.8 + -2 + -0.2(5 + p) 4 + 2p = -1.8 + -2 + (5 * -0.2 + p * -0.2) 4 + 2p = -1.8 + -2 + (-1 + -0.2p) Combine like terms: -1.8 + -2 = -3.8 4 + 2p = -3.8 + -1 + -0.2p Combine like terms: -3.8 + -1 = -4.8 4 + 2p = -4.8 + -0.2p Solving 4 + 2p = -4.8 + -0.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.2p' to each side of the equation. 4 + 2p + 0.2p = -4.8 + -0.2p + 0.2p Combine like terms: 2p + 0.2p = 2.2p 4 + 2.2p = -4.8 + -0.2p + 0.2p Combine like terms: -0.2p + 0.2p = 0.0 4 + 2.2p = -4.8 + 0.0 4 + 2.2p = -4.8 Add '-4' to each side of the equation. 4 + -4 + 2.2p = -4.8 + -4 Combine like terms: 4 + -4 = 0 0 + 2.2p = -4.8 + -4 2.2p = -4.8 + -4 Combine like terms: -4.8 + -4 = -8.8 2.2p = -8.8 Divide each side by '2.2'. p = -4 Simplifying p = -4
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