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Simplifying 8 = 2(p + 3) + -2(1 + -1p) Reorder the terms: 8 = 2(3 + p) + -2(1 + -1p) 8 = (3 * 2 + p * 2) + -2(1 + -1p) 8 = (6 + 2p) + -2(1 + -1p) 8 = 6 + 2p + (1 * -2 + -1p * -2) 8 = 6 + 2p + (-2 + 2p) Reorder the terms: 8 = 6 + -2 + 2p + 2p Combine like terms: 6 + -2 = 4 8 = 4 + 2p + 2p Combine like terms: 2p + 2p = 4p 8 = 4 + 4p Solving 8 = 4 + 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. 8 + -4p = 4 + 4p + -4p Combine like terms: 4p + -4p = 0 8 + -4p = 4 + 0 8 + -4p = 4 Add '-8' to each side of the equation. 8 + -8 + -4p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = 4 + -8 -4p = 4 + -8 Combine like terms: 4 + -8 = -4 -4p = -4 Divide each side by '-4'. p = 1 Simplifying p = 1
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