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Simplifying 7 = -1(2p + -3) + -2(2 + -2p) Reorder the terms: 7 = -1(-3 + 2p) + -2(2 + -2p) 7 = (-3 * -1 + 2p * -1) + -2(2 + -2p) 7 = (3 + -2p) + -2(2 + -2p) 7 = 3 + -2p + (2 * -2 + -2p * -2) 7 = 3 + -2p + (-4 + 4p) Reorder the terms: 7 = 3 + -4 + -2p + 4p Combine like terms: 3 + -4 = -1 7 = -1 + -2p + 4p Combine like terms: -2p + 4p = 2p 7 = -1 + 2p Solving 7 = -1 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7 + -2p = -1 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + -2p = -1 + 0 7 + -2p = -1 Add '-7' to each side of the equation. 7 + -7 + -2p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = -1 + -7 -2p = -1 + -7 Combine like terms: -1 + -7 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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