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Simplifying -2p + -6(p + -9) = -6(p + -6) Reorder the terms: -2p + -6(-9 + p) = -6(p + -6) -2p + (-9 * -6 + p * -6) = -6(p + -6) -2p + (54 + -6p) = -6(p + -6) Reorder the terms: 54 + -2p + -6p = -6(p + -6) Combine like terms: -2p + -6p = -8p 54 + -8p = -6(p + -6) Reorder the terms: 54 + -8p = -6(-6 + p) 54 + -8p = (-6 * -6 + p * -6) 54 + -8p = (36 + -6p) Solving 54 + -8p = 36 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 54 + -8p + 6p = 36 + -6p + 6p Combine like terms: -8p + 6p = -2p 54 + -2p = 36 + -6p + 6p Combine like terms: -6p + 6p = 0 54 + -2p = 36 + 0 54 + -2p = 36 Add '-54' to each side of the equation. 54 + -54 + -2p = 36 + -54 Combine like terms: 54 + -54 = 0 0 + -2p = 36 + -54 -2p = 36 + -54 Combine like terms: 36 + -54 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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