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Simplifying -2(1 + -7p) = 8(p + -7) (1 * -2 + -7p * -2) = 8(p + -7) (-2 + 14p) = 8(p + -7) Reorder the terms: -2 + 14p = 8(-7 + p) -2 + 14p = (-7 * 8 + p * 8) -2 + 14p = (-56 + 8p) Solving -2 + 14p = -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. -2 + 14p + -8p = -56 + 8p + -8p Combine like terms: 14p + -8p = 6p -2 + 6p = -56 + 8p + -8p Combine like terms: 8p + -8p = 0 -2 + 6p = -56 + 0 -2 + 6p = -56 Add '2' to each side of the equation. -2 + 2 + 6p = -56 + 2 Combine like terms: -2 + 2 = 0 0 + 6p = -56 + 2 6p = -56 + 2 Combine like terms: -56 + 2 = -54 6p = -54 Divide each side by '6'. p = -9 Simplifying p = -9
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