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Simplifying -2p + 7 = 5 + -1(7p + 8) Reorder the terms: 7 + -2p = 5 + -1(7p + 8) Reorder the terms: 7 + -2p = 5 + -1(8 + 7p) 7 + -2p = 5 + (8 * -1 + 7p * -1) 7 + -2p = 5 + (-8 + -7p) Combine like terms: 5 + -8 = -3 7 + -2p = -3 + -7p Solving 7 + -2p = -3 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 7 + -2p + 7p = -3 + -7p + 7p Combine like terms: -2p + 7p = 5p 7 + 5p = -3 + -7p + 7p Combine like terms: -7p + 7p = 0 7 + 5p = -3 + 0 7 + 5p = -3 Add '-7' to each side of the equation. 7 + -7 + 5p = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = -3 + -7 5p = -3 + -7 Combine like terms: -3 + -7 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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