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Simplifying 7(p + -7) = -8p + 26 Reorder the terms: 7(-7 + p) = -8p + 26 (-7 * 7 + p * 7) = -8p + 26 (-49 + 7p) = -8p + 26 Reorder the terms: -49 + 7p = 26 + -8p Solving -49 + 7p = 26 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -49 + 7p + 8p = 26 + -8p + 8p Combine like terms: 7p + 8p = 15p -49 + 15p = 26 + -8p + 8p Combine like terms: -8p + 8p = 0 -49 + 15p = 26 + 0 -49 + 15p = 26 Add '49' to each side of the equation. -49 + 49 + 15p = 26 + 49 Combine like terms: -49 + 49 = 0 0 + 15p = 26 + 49 15p = 26 + 49 Combine like terms: 26 + 49 = 75 15p = 75 Divide each side by '15'. p = 5 Simplifying p = 5
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