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Simplifying 9(p + -6) = 6(-9 + -5p) Reorder the terms: 9(-6 + p) = 6(-9 + -5p) (-6 * 9 + p * 9) = 6(-9 + -5p) (-54 + 9p) = 6(-9 + -5p) -54 + 9p = (-9 * 6 + -5p * 6) -54 + 9p = (-54 + -30p) Add '54' to each side of the equation. -54 + 54 + 9p = -54 + 54 + -30p Combine like terms: -54 + 54 = 0 0 + 9p = -54 + 54 + -30p 9p = -54 + 54 + -30p Combine like terms: -54 + 54 = 0 9p = 0 + -30p 9p = -30p Solving 9p = -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 9p + 30p = -30p + 30p Combine like terms: 9p + 30p = 39p 39p = -30p + 30p Combine like terms: -30p + 30p = 0 39p = 0 Divide each side by '39'. p = 0 Simplifying p = 0
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