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Simplifying 9(3p + -18) + 12 = -3p Reorder the terms: 9(-18 + 3p) + 12 = -3p (-18 * 9 + 3p * 9) + 12 = -3p (-162 + 27p) + 12 = -3p Reorder the terms: -162 + 12 + 27p = -3p Combine like terms: -162 + 12 = -150 -150 + 27p = -3p Solving -150 + 27p = -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -150 + 27p + 3p = -3p + 3p Combine like terms: 27p + 3p = 30p -150 + 30p = -3p + 3p Combine like terms: -3p + 3p = 0 -150 + 30p = 0 Add '150' to each side of the equation. -150 + 150 + 30p = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 30p = 0 + 150 30p = 0 + 150 Combine like terms: 0 + 150 = 150 30p = 150 Divide each side by '30'. p = 5 Simplifying p = 5
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