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Simplifying -97 = 5 + -3(5p + -1) Reorder the terms: -97 = 5 + -3(-1 + 5p) -97 = 5 + (-1 * -3 + 5p * -3) -97 = 5 + (3 + -15p) Combine like terms: 5 + 3 = 8 -97 = 8 + -15p Solving -97 = 8 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. -97 + 15p = 8 + -15p + 15p Combine like terms: -15p + 15p = 0 -97 + 15p = 8 + 0 -97 + 15p = 8 Add '97' to each side of the equation. -97 + 97 + 15p = 8 + 97 Combine like terms: -97 + 97 = 0 0 + 15p = 8 + 97 15p = 8 + 97 Combine like terms: 8 + 97 = 105 15p = 105 Divide each side by '15'. p = 7 Simplifying p = 7
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