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Simplifying 0.5(4p + 3) + 5 + -1p = 4.5 Reorder the terms: 0.5(3 + 4p) + 5 + -1p = 4.5 (3 * 0.5 + 4p * 0.5) + 5 + -1p = 4.5 (1.5 + 2p) + 5 + -1p = 4.5 Reorder the terms: 1.5 + 5 + 2p + -1p = 4.5 Combine like terms: 1.5 + 5 = 6.5 6.5 + 2p + -1p = 4.5 Combine like terms: 2p + -1p = 1p 6.5 + 1p = 4.5 Solving 6.5 + 1p = 4.5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 1p = 4.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 1p = 4.5 + -6.5 1p = 4.5 + -6.5 Combine like terms: 4.5 + -6.5 = -2 1p = -2 Divide each side by '1'. p = -2 Simplifying p = -2
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