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Simplifying -5(-7p + 1) = 26 + 4p Reorder the terms: -5(1 + -7p) = 26 + 4p (1 * -5 + -7p * -5) = 26 + 4p (-5 + 35p) = 26 + 4p Solving -5 + 35p = 26 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -5 + 35p + -4p = 26 + 4p + -4p Combine like terms: 35p + -4p = 31p -5 + 31p = 26 + 4p + -4p Combine like terms: 4p + -4p = 0 -5 + 31p = 26 + 0 -5 + 31p = 26 Add '5' to each side of the equation. -5 + 5 + 31p = 26 + 5 Combine like terms: -5 + 5 = 0 0 + 31p = 26 + 5 31p = 26 + 5 Combine like terms: 26 + 5 = 31 31p = 31 Divide each side by '31'. p = 1 Simplifying p = 1
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