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Simplifying -85 = -7(1 + -2p) + 6 -85 = (1 * -7 + -2p * -7) + 6 -85 = (-7 + 14p) + 6 Reorder the terms: -85 = -7 + 6 + 14p Combine like terms: -7 + 6 = -1 -85 = -1 + 14p Solving -85 = -1 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -85 + -14p = -1 + 14p + -14p Combine like terms: 14p + -14p = 0 -85 + -14p = -1 + 0 -85 + -14p = -1 Add '85' to each side of the equation. -85 + 85 + -14p = -1 + 85 Combine like terms: -85 + 85 = 0 0 + -14p = -1 + 85 -14p = -1 + 85 Combine like terms: -1 + 85 = 84 -14p = 84 Divide each side by '-14'. p = -6 Simplifying p = -6
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