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Simplifying 2(p + 2) = 1.8p + -2 + -0.2(p + 2) Reorder the terms: 2(2 + p) = 1.8p + -2 + -0.2(p + 2) (2 * 2 + p * 2) = 1.8p + -2 + -0.2(p + 2) (4 + 2p) = 1.8p + -2 + -0.2(p + 2) Reorder the terms: 4 + 2p = 1.8p + -2 + -0.2(2 + p) 4 + 2p = 1.8p + -2 + (2 * -0.2 + p * -0.2) 4 + 2p = 1.8p + -2 + (-0.4 + -0.2p) Reorder the terms: 4 + 2p = -2 + -0.4 + 1.8p + -0.2p Combine like terms: -2 + -0.4 = -2.4 4 + 2p = -2.4 + 1.8p + -0.2p Combine like terms: 1.8p + -0.2p = 1.6p 4 + 2p = -2.4 + 1.6p Solving 4 + 2p = -2.4 + 1.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.6p' to each side of the equation. 4 + 2p + -1.6p = -2.4 + 1.6p + -1.6p Combine like terms: 2p + -1.6p = 0.4p 4 + 0.4p = -2.4 + 1.6p + -1.6p Combine like terms: 1.6p + -1.6p = 0.0 4 + 0.4p = -2.4 + 0.0 4 + 0.4p = -2.4 Add '-4' to each side of the equation. 4 + -4 + 0.4p = -2.4 + -4 Combine like terms: 4 + -4 = 0 0 + 0.4p = -2.4 + -4 0.4p = -2.4 + -4 Combine like terms: -2.4 + -4 = -6.4 0.4p = -6.4 Divide each side by '0.4'. p = -16 Simplifying p = -16
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