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Simplifying -9 + 2(p + 6) = -1(-3 + 9p) Reorder the terms: -9 + 2(6 + p) = -1(-3 + 9p) -9 + (6 * 2 + p * 2) = -1(-3 + 9p) -9 + (12 + 2p) = -1(-3 + 9p) Combine like terms: -9 + 12 = 3 3 + 2p = -1(-3 + 9p) 3 + 2p = (-3 * -1 + 9p * -1) 3 + 2p = (3 + -9p) Add '-3' to each side of the equation. 3 + -3 + 2p = 3 + -3 + -9p Combine like terms: 3 + -3 = 0 0 + 2p = 3 + -3 + -9p 2p = 3 + -3 + -9p Combine like terms: 3 + -3 = 0 2p = 0 + -9p 2p = -9p Solving 2p = -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 2p + 9p = -9p + 9p Combine like terms: 2p + 9p = 11p 11p = -9p + 9p Combine like terms: -9p + 9p = 0 11p = 0 Divide each side by '11'. p = 0 Simplifying p = 0
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