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Simplifying -91 = 7p + -3(5p + 1) Reorder the terms: -91 = 7p + -3(1 + 5p) -91 = 7p + (1 * -3 + 5p * -3) -91 = 7p + (-3 + -15p) Reorder the terms: -91 = -3 + 7p + -15p Combine like terms: 7p + -15p = -8p -91 = -3 + -8p Solving -91 = -3 + -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. -91 + 8p = -3 + -8p + 8p Combine like terms: -8p + 8p = 0 -91 + 8p = -3 + 0 -91 + 8p = -3 Add '91' to each side of the equation. -91 + 91 + 8p = -3 + 91 Combine like terms: -91 + 91 = 0 0 + 8p = -3 + 91 8p = -3 + 91 Combine like terms: -3 + 91 = 88 8p = 88 Divide each side by '8'. p = 11 Simplifying p = 11
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