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Simplifying 0.8(4p + 5) = 4(0.5 + -2) Reorder the terms: 0.8(5 + 4p) = 4(0.5 + -2) (5 * 0.8 + 4p * 0.8) = 4(0.5 + -2) (4 + 3.2p) = 4(0.5 + -2) Combine like terms: 0.5 + -2 = -1.5 4 + 3.2p = 4(-1.5) Multiply 4 * -1.5 4 + 3.2p = -6 Solving 4 + 3.2p = -6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3.2p = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 3.2p = -6 + -4 3.2p = -6 + -4 Combine like terms: -6 + -4 = -10 3.2p = -10 Divide each side by '3.2'. p = -3.125 Simplifying p = -3.125
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