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Simplifying 45 = 9 + -4(2p + -1) Reorder the terms: 45 = 9 + -4(-1 + 2p) 45 = 9 + (-1 * -4 + 2p * -4) 45 = 9 + (4 + -8p) Combine like terms: 9 + 4 = 13 45 = 13 + -8p Solving 45 = 13 + -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. 45 + 8p = 13 + -8p + 8p Combine like terms: -8p + 8p = 0 45 + 8p = 13 + 0 45 + 8p = 13 Add '-45' to each side of the equation. 45 + -45 + 8p = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 8p = 13 + -45 8p = 13 + -45 Combine like terms: 13 + -45 = -32 8p = -32 Divide each side by '8'. p = -4 Simplifying p = -4
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