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Simplifying 2(p + 2) = 1.8p + -2 + -1(p + 5) Reorder the terms: 2(2 + p) = 1.8p + -2 + -1(p + 5) (2 * 2 + p * 2) = 1.8p + -2 + -1(p + 5) (4 + 2p) = 1.8p + -2 + -1(p + 5) Reorder the terms: 4 + 2p = 1.8p + -2 + -1(5 + p) 4 + 2p = 1.8p + -2 + (5 * -1 + p * -1) 4 + 2p = 1.8p + -2 + (-5 + -1p) Reorder the terms: 4 + 2p = -2 + -5 + 1.8p + -1p Combine like terms: -2 + -5 = -7 4 + 2p = -7 + 1.8p + -1p Combine like terms: 1.8p + -1p = 0.8p 4 + 2p = -7 + 0.8p Solving 4 + 2p = -7 + 0.8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.8p' to each side of the equation. 4 + 2p + -0.8p = -7 + 0.8p + -0.8p Combine like terms: 2p + -0.8p = 1.2p 4 + 1.2p = -7 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 4 + 1.2p = -7 + 0.0 4 + 1.2p = -7 Add '-4' to each side of the equation. 4 + -4 + 1.2p = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 1.2p = -7 + -4 1.2p = -7 + -4 Combine like terms: -7 + -4 = -11 1.2p = -11 Divide each side by '1.2'. p = -9.166666667 Simplifying p = -9.166666667
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