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Simplifying -2p + 8 = 6 + -1(5p + 3) Reorder the terms: 8 + -2p = 6 + -1(5p + 3) Reorder the terms: 8 + -2p = 6 + -1(3 + 5p) 8 + -2p = 6 + (3 * -1 + 5p * -1) 8 + -2p = 6 + (-3 + -5p) Combine like terms: 6 + -3 = 3 8 + -2p = 3 + -5p Solving 8 + -2p = 3 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 8 + -2p + 5p = 3 + -5p + 5p Combine like terms: -2p + 5p = 3p 8 + 3p = 3 + -5p + 5p Combine like terms: -5p + 5p = 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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