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Simplifying -2p + 7 = 5 + -1(5p + 6) Reorder the terms: 7 + -2p = 5 + -1(5p + 6) Reorder the terms: 7 + -2p = 5 + -1(6 + 5p) 7 + -2p = 5 + (6 * -1 + 5p * -1) 7 + -2p = 5 + (-6 + -5p) Combine like terms: 5 + -6 = -1 7 + -2p = -1 + -5p Solving 7 + -2p = -1 + -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. 7 + -2p + 5p = -1 + -5p + 5p Combine like terms: -2p + 5p = 3p 7 + 3p = -1 + -5p + 5p Combine like terms: -5p + 5p = 0 7 + 3p = -1 + 0 7 + 3p = -1 Add '-7' to each side of the equation. 7 + -7 + 3p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = -1 + -7 3p = -1 + -7 Combine like terms: -1 + -7 = -8 3p = -8 Divide each side by '3'. p = -2.666666667 Simplifying p = -2.666666667
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