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Simplifying -3p + 8 = 5 + -1(6p + 2) Reorder the terms: 8 + -3p = 5 + -1(6p + 2) Reorder the terms: 8 + -3p = 5 + -1(2 + 6p) 8 + -3p = 5 + (2 * -1 + 6p * -1) 8 + -3p = 5 + (-2 + -6p) Combine like terms: 5 + -2 = 3 8 + -3p = 3 + -6p Solving 8 + -3p = 3 + -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. 8 + -3p + 6p = 3 + -6p + 6p Combine like terms: -3p + 6p = 3p 8 + 3p = 3 + -6p + 6p Combine like terms: -6p + 6p = 0 8 + 3p = 3 + 0 8 + 3p = 3 Add '-8' to each side of the equation. 8 + -8 + 3p = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 3 + -8 3p = 3 + -8 Combine like terms: 3 + -8 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667
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