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Simplifying 0.5p + 1 = 2p + 4 Reorder the terms: 1 + 0.5p = 2p + 4 Reorder the terms: 1 + 0.5p = 4 + 2p Solving 1 + 0.5p = 4 + 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. 1 + 0.5p + -2p = 4 + 2p + -2p Combine like terms: 0.5p + -2p = -1.5p 1 + -1.5p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + -1.5p = 4 + 0 1 + -1.5p = 4 Add '-1' to each side of the equation. 1 + -1 + -1.5p = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5p = 4 + -1 -1.5p = 4 + -1 Combine like terms: 4 + -1 = 3 -1.5p = 3 Divide each side by '-1.5'. p = -2 Simplifying p = -2
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