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Simplifying -5(1 + -8p) = 30 + 5p (1 * -5 + -8p * -5) = 30 + 5p (-5 + 40p) = 30 + 5p Solving -5 + 40p = 30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -5 + 40p + -5p = 30 + 5p + -5p Combine like terms: 40p + -5p = 35p -5 + 35p = 30 + 5p + -5p Combine like terms: 5p + -5p = 0 -5 + 35p = 30 + 0 -5 + 35p = 30 Add '5' to each side of the equation. -5 + 5 + 35p = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 35p = 30 + 5 35p = 30 + 5 Combine like terms: 30 + 5 = 35 35p = 35 Divide each side by '35'. p = 1 Simplifying p = 1
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