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Simplifying 5(p + 0.3) = 2p + p + 9.5 Reorder the terms: 5(0.3 + p) = 2p + p + 9.5 (0.3 * 5 + p * 5) = 2p + p + 9.5 (1.5 + 5p) = 2p + p + 9.5 Reorder the terms: 1.5 + 5p = 9.5 + 2p + p Combine like terms: 2p + p = 3p 1.5 + 5p = 9.5 + 3p Solving 1.5 + 5p = 9.5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 1.5 + 5p + -3p = 9.5 + 3p + -3p Combine like terms: 5p + -3p = 2p 1.5 + 2p = 9.5 + 3p + -3p Combine like terms: 3p + -3p = 0 1.5 + 2p = 9.5 + 0 1.5 + 2p = 9.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2p = 9.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2p = 9.5 + -1.5 2p = 9.5 + -1.5 Combine like terms: 9.5 + -1.5 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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