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Simplifying -2 + 8 = 6 + -1(6p + 7) Combine like terms: -2 + 8 = 6 6 = 6 + -1(6p + 7) Reorder the terms: 6 = 6 + -1(7 + 6p) 6 = 6 + (7 * -1 + 6p * -1) 6 = 6 + (-7 + -6p) Combine like terms: 6 + -7 = -1 6 = -1 + -6p Solving 6 = -1 + -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. 6 + 6p = -1 + -6p + 6p Combine like terms: -6p + 6p = 0 6 + 6p = -1 + 0 6 + 6p = -1 Add '-6' to each side of the equation. 6 + -6 + 6p = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 6p = -1 + -6 6p = -1 + -6 Combine like terms: -1 + -6 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667
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