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Simplifying -205 = 5(1 + -7p) -205 = (1 * 5 + -7p * 5) -205 = (5 + -35p) Solving -205 = 5 + -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 = 5 + -35p + 35p Combine like terms: -35p + 35p = 0 -205 + 35p = 5 + 0 -205 + 35p = 5 Add '205' to each side of the equation. -205 + 205 + 35p = 5 + 205 Combine like terms: -205 + 205 = 0 0 + 35p = 5 + 205 35p = 5 + 205 Combine like terms: 5 + 205 = 210 35p = 210 Divide each side by '35'. p = 6 Simplifying p = 6
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