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Simplifying -1(-2 + -6p) = 7(2p + -2) (-2 * -1 + -6p * -1) = 7(2p + -2) (2 + 6p) = 7(2p + -2) Reorder the terms: 2 + 6p = 7(-2 + 2p) 2 + 6p = (-2 * 7 + 2p * 7) 2 + 6p = (-14 + 14p) Solving 2 + 6p = -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. 2 + 6p + -14p = -14 + 14p + -14p Combine like terms: 6p + -14p = -8p 2 + -8p = -14 + 14p + -14p Combine like terms: 14p + -14p = 0 2 + -8p = -14 + 0 2 + -8p = -14 Add '-2' to each side of the equation. 2 + -2 + -8p = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -8p = -14 + -2 -8p = -14 + -2 Combine like terms: -14 + -2 = -16 -8p = -16 Divide each side by '-8'. p = 2 Simplifying p = 2
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