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Simplifying -6(7 + p) = 8(-7 + -1p) (7 * -6 + p * -6) = 8(-7 + -1p) (-42 + -6p) = 8(-7 + -1p) -42 + -6p = (-7 * 8 + -1p * 8) -42 + -6p = (-56 + -8p) Solving -42 + -6p = -56 + -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. -42 + -6p + 8p = -56 + -8p + 8p Combine like terms: -6p + 8p = 2p -42 + 2p = -56 + -8p + 8p Combine like terms: -8p + 8p = 0 -42 + 2p = -56 + 0 -42 + 2p = -56 Add '42' to each side of the equation. -42 + 42 + 2p = -56 + 42 Combine like terms: -42 + 42 = 0 0 + 2p = -56 + 42 2p = -56 + 42 Combine like terms: -56 + 42 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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