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Simplifying 0.5(p + 3) = 3(0.1 + 0.16p) Reorder the terms: 0.5(3 + p) = 3(0.1 + 0.16p) (3 * 0.5 + p * 0.5) = 3(0.1 + 0.16p) (1.5 + 0.5p) = 3(0.1 + 0.16p) 1.5 + 0.5p = (0.1 * 3 + 0.16p * 3) 1.5 + 0.5p = (0.3 + 0.48p) Solving 1.5 + 0.5p = 0.3 + 0.48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.48p' to each side of the equation. 1.5 + 0.5p + -0.48p = 0.3 + 0.48p + -0.48p Combine like terms: 0.5p + -0.48p = 0.02p 1.5 + 0.02p = 0.3 + 0.48p + -0.48p Combine like terms: 0.48p + -0.48p = 0.00 1.5 + 0.02p = 0.3 + 0.00 1.5 + 0.02p = 0.3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.02p = 0.3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.02p = 0.3 + -1.5 0.02p = 0.3 + -1.5 Combine like terms: 0.3 + -1.5 = -1.2 0.02p = -1.2 Divide each side by '0.02'. p = -60 Simplifying p = -60
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