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Simplifying -5(1 + -3p) = 35 + 7p (1 * -5 + -3p * -5) = 35 + 7p (-5 + 15p) = 35 + 7p Solving -5 + 15p = 35 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -5 + 15p + -7p = 35 + 7p + -7p Combine like terms: 15p + -7p = 8p -5 + 8p = 35 + 7p + -7p Combine like terms: 7p + -7p = 0 -5 + 8p = 35 + 0 -5 + 8p = 35 Add '5' to each side of the equation. -5 + 5 + 8p = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 8p = 35 + 5 8p = 35 + 5 Combine like terms: 35 + 5 = 40 8p = 40 Divide each side by '8'. p = 5 Simplifying p = 5
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