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Simplifying 5(4 + -0.5p) = 2p + 16 (4 * 5 + -0.5p * 5) = 2p + 16 (20 + -2.5p) = 2p + 16 Reorder the terms: 20 + -2.5p = 16 + 2p Solving 20 + -2.5p = 16 + 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. 20 + -2.5p + -2p = 16 + 2p + -2p Combine like terms: -2.5p + -2p = -4.5p 20 + -4.5p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 20 + -4.5p = 16 + 0 20 + -4.5p = 16 Add '-20' to each side of the equation. 20 + -20 + -4.5p = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -4.5p = 16 + -20 -4.5p = 16 + -20 Combine like terms: 16 + -20 = -4 -4.5p = -4 Divide each side by '-4.5'. p = 0.8888888889 Simplifying p = 0.8888888889
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