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Simplifying -2p + 7 = 6 + -1(4p + 4) Reorder the terms: 7 + -2p = 6 + -1(4p + 4) Reorder the terms: 7 + -2p = 6 + -1(4 + 4p) 7 + -2p = 6 + (4 * -1 + 4p * -1) 7 + -2p = 6 + (-4 + -4p) Combine like terms: 6 + -4 = 2 7 + -2p = 2 + -4p Solving 7 + -2p = 2 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 7 + -2p + 4p = 2 + -4p + 4p Combine like terms: -2p + 4p = 2p 7 + 2p = 2 + -4p + 4p Combine like terms: -4p + 4p = 0 7 + 2p = 2 + 0 7 + 2p = 2 Add '-7' to each side of the equation. 7 + -7 + 2p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 2 + -7 2p = 2 + -7 Combine like terms: 2 + -7 = -5 2p = -5 Divide each side by '2'. p = -2.5 Simplifying p = -2.5
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