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Simplifying 0.5p + 4 = 2(p + 2) Reorder the terms: 4 + 0.5p = 2(p + 2) Reorder the terms: 4 + 0.5p = 2(2 + p) 4 + 0.5p = (2 * 2 + p * 2) 4 + 0.5p = (4 + 2p) Add '-4' to each side of the equation. 4 + -4 + 0.5p = 4 + -4 + 2p Combine like terms: 4 + -4 = 0 0 + 0.5p = 4 + -4 + 2p 0.5p = 4 + -4 + 2p Combine like terms: 4 + -4 = 0 0.5p = 0 + 2p 0.5p = 2p Solving 0.5p = 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. 0.5p + -2p = 2p + -2p Combine like terms: 0.5p + -2p = -1.5p -1.5p = 2p + -2p Combine like terms: 2p + -2p = 0 -1.5p = 0 Divide each side by '-1.5'. p = 0 Simplifying p = 0
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