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Simplifying 205 = 5(8 + 7p) 205 = (8 * 5 + 7p * 5) 205 = (40 + 35p) Solving 205 = 40 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 205 + -35p = 40 + 35p + -35p Combine like terms: 35p + -35p = 0 205 + -35p = 40 + 0 205 + -35p = 40 Add '-205' to each side of the equation. 205 + -205 + -35p = 40 + -205 Combine like terms: 205 + -205 = 0 0 + -35p = 40 + -205 -35p = 40 + -205 Combine like terms: 40 + -205 = -165 -35p = -165 Divide each side by '-35'. p = 4.714285714 Simplifying p = 4.714285714
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