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Simplifying -2p + 7 = 6 + -1(8p + 4) Reorder the terms: 7 + -2p = 6 + -1(8p + 4) Reorder the terms: 7 + -2p = 6 + -1(4 + 8p) 7 + -2p = 6 + (4 * -1 + 8p * -1) 7 + -2p = 6 + (-4 + -8p) Combine like terms: 6 + -4 = 2 7 + -2p = 2 + -8p Solving 7 + -2p = 2 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 7 + -2p + 8p = 2 + -8p + 8p Combine like terms: -2p + 8p = 6p 7 + 6p = 2 + -8p + 8p Combine like terms: -8p + 8p = 0 7 + 6p = 2 + 0 7 + 6p = 2 Add '-7' to each side of the equation. 7 + -7 + 6p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 2 + -7 6p = 2 + -7 Combine like terms: 2 + -7 = -5 6p = -5 Divide each side by '6'. p = -0.8333333333 Simplifying p = -0.8333333333
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