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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 = -4 1.2p = -4 Divide each side by '1.2'. p = -3.333333333 Simplifying p = -3.333333333
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