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Simplifying -2p + 7 = 6 + -1(7p + 5) Reorder the terms: 7 + -2p = 6 + -1(7p + 5) Reorder the terms: 7 + -2p = 6 + -1(5 + 7p) 7 + -2p = 6 + (5 * -1 + 7p * -1) 7 + -2p = 6 + (-5 + -7p) Combine like terms: 6 + -5 = 1 7 + -2p = 1 + -7p Solving 7 + -2p = 1 + -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 = 1 + -7p + 7p Combine like terms: -2p + 7p = 5p 7 + 5p = 1 + -7p + 7p Combine like terms: -7p + 7p = 0 7 + 5p = 1 + 0 7 + 5p = 1 Add '-7' to each side of the equation. 7 + -7 + 5p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = 1 + -7 5p = 1 + -7 Combine like terms: 1 + -7 = -6 5p = -6 Divide each side by '5'. p = -1.2 Simplifying p = -1.2
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