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Simplifying -79 = -7(5p + -7) + 3p Reorder the terms: -79 = -7(-7 + 5p) + 3p -79 = (-7 * -7 + 5p * -7) + 3p -79 = (49 + -35p) + 3p Combine like terms: -35p + 3p = -32p -79 = 49 + -32p Solving -79 = 49 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. -79 + 32p = 49 + -32p + 32p Combine like terms: -32p + 32p = 0 -79 + 32p = 49 + 0 -79 + 32p = 49 Add '79' to each side of the equation. -79 + 79 + 32p = 49 + 79 Combine like terms: -79 + 79 = 0 0 + 32p = 49 + 79 32p = 49 + 79 Combine like terms: 49 + 79 = 128 32p = 128 Divide each side by '32'. p = 4 Simplifying p = 4
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