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Simplifying 12 = 9(p + 2) + 57 Reorder the terms: 12 = 9(2 + p) + 57 12 = (2 * 9 + p * 9) + 57 12 = (18 + 9p) + 57 Reorder the terms: 12 = 18 + 57 + 9p Combine like terms: 18 + 57 = 75 12 = 75 + 9p Solving 12 = 75 + 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. 12 + -9p = 75 + 9p + -9p Combine like terms: 9p + -9p = 0 12 + -9p = 75 + 0 12 + -9p = 75 Add '-12' to each side of the equation. 12 + -12 + -9p = 75 + -12 Combine like terms: 12 + -12 = 0 0 + -9p = 75 + -12 -9p = 75 + -12 Combine like terms: 75 + -12 = 63 -9p = 63 Divide each side by '-9'. p = -7 Simplifying p = -7
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