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Simplifying 0.8(4p + 5) = 4(0.5p + -2) Reorder the terms: 0.8(5 + 4p) = 4(0.5p + -2) (5 * 0.8 + 4p * 0.8) = 4(0.5p + -2) (4 + 3.2p) = 4(0.5p + -2) Reorder the terms: 4 + 3.2p = 4(-2 + 0.5p) 4 + 3.2p = (-2 * 4 + 0.5p * 4) 4 + 3.2p = (-8 + 2p) Solving 4 + 3.2p = -8 + 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. 4 + 3.2p + -2p = -8 + 2p + -2p Combine like terms: 3.2p + -2p = 1.2p 4 + 1.2p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 1.2p = -8 + 0 4 + 1.2p = -8 Add '-4' to each side of the equation. 4 + -4 + 1.2p = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 1.2p = -8 + -4 1.2p = -8 + -4 Combine like terms: -8 + -4 = -12 1.2p = -12 Divide each side by '1.2'. p = -10 Simplifying p = -10
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