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Simplifying 7(1 + -1p) = 2 + -6p (1 * 7 + -1p * 7) = 2 + -6p (7 + -7p) = 2 + -6p Solving 7 + -7p = 2 + -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. 7 + -7p + 6p = 2 + -6p + 6p Combine like terms: -7p + 6p = -1p 7 + -1p = 2 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + -1p = 2 + 0 7 + -1p = 2 Add '-7' to each side of the equation. 7 + -7 + -1p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 2 + -7 -1p = 2 + -7 Combine like terms: 2 + -7 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5
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