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Simplifying -84 = -7(p + -2) + -7p Reorder the terms: -84 = -7(-2 + p) + -7p -84 = (-2 * -7 + p * -7) + -7p -84 = (14 + -7p) + -7p Combine like terms: -7p + -7p = -14p -84 = 14 + -14p Solving -84 = 14 + -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. -84 + 14p = 14 + -14p + 14p Combine like terms: -14p + 14p = 0 -84 + 14p = 14 + 0 -84 + 14p = 14 Add '84' to each side of the equation. -84 + 84 + 14p = 14 + 84 Combine like terms: -84 + 84 = 0 0 + 14p = 14 + 84 14p = 14 + 84 Combine like terms: 14 + 84 = 98 14p = 98 Divide each side by '14'. p = 7 Simplifying p = 7
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