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Simplifying -7(2p + 7) = 15 + -6p Reorder the terms: -7(7 + 2p) = 15 + -6p (7 * -7 + 2p * -7) = 15 + -6p (-49 + -14p) = 15 + -6p Solving -49 + -14p = 15 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -49 + -14p + 6p = 15 + -6p + 6p Combine like terms: -14p + 6p = -8p -49 + -8p = 15 + -6p + 6p Combine like terms: -6p + 6p = 0 -49 + -8p = 15 + 0 -49 + -8p = 15 Add '49' to each side of the equation. -49 + 49 + -8p = 15 + 49 Combine like terms: -49 + 49 = 0 0 + -8p = 15 + 49 -8p = 15 + 49 Combine like terms: 15 + 49 = 64 -8p = 64 Divide each side by '-8'. p = -8 Simplifying p = -8
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