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Simplifying -5(1 + -8p) = 28 + 7p (1 * -5 + -8p * -5) = 28 + 7p (-5 + 40p) = 28 + 7p Solving -5 + 40p = 28 + 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 + 40p + -7p = 28 + 7p + -7p Combine like terms: 40p + -7p = 33p -5 + 33p = 28 + 7p + -7p Combine like terms: 7p + -7p = 0 -5 + 33p = 28 + 0 -5 + 33p = 28 Add '5' to each side of the equation. -5 + 5 + 33p = 28 + 5 Combine like terms: -5 + 5 = 0 0 + 33p = 28 + 5 33p = 28 + 5 Combine like terms: 28 + 5 = 33 33p = 33 Divide each side by '33'. p = 1 Simplifying p = 1
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