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Simplifying -2p + 7 = 6 + -1(5p + -3) Reorder the terms: 7 + -2p = 6 + -1(5p + -3) Reorder the terms: 7 + -2p = 6 + -1(-3 + 5p) 7 + -2p = 6 + (-3 * -1 + 5p * -1) 7 + -2p = 6 + (3 + -5p) Combine like terms: 6 + 3 = 9 7 + -2p = 9 + -5p Solving 7 + -2p = 9 + -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 = 9 + -5p + 5p Combine like terms: -2p + 5p = 3p 7 + 3p = 9 + -5p + 5p Combine like terms: -5p + 5p = 0 7 + 3p = 9 + 0 7 + 3p = 9 Add '-7' to each side of the equation. 7 + -7 + 3p = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 9 + -7 3p = 9 + -7 Combine like terms: 9 + -7 = 2 3p = 2 Divide each side by '3'. p = 0.6666666667 Simplifying p = 0.6666666667
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