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Simplifying -2p + 8 = 6 + -1(7p + 2) Reorder the terms: 8 + -2p = 6 + -1(7p + 2) Reorder the terms: 8 + -2p = 6 + -1(2 + 7p) 8 + -2p = 6 + (2 * -1 + 7p * -1) 8 + -2p = 6 + (-2 + -7p) Combine like terms: 6 + -2 = 4 8 + -2p = 4 + -7p Solving 8 + -2p = 4 + -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. 8 + -2p + 7p = 4 + -7p + 7p Combine like terms: -2p + 7p = 5p 8 + 5p = 4 + -7p + 7p Combine like terms: -7p + 7p = 0 8 + 5p = 4 + 0 8 + 5p = 4 Add '-8' to each side of the equation. 8 + -8 + 5p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 4 + -8 5p = 4 + -8 Combine like terms: 4 + -8 = -4 5p = -4 Divide each side by '5'. p = -0.8 Simplifying p = -0.8
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