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Simplifying 2(6 + -3p) + -5p = 9p + -128 (6 * 2 + -3p * 2) + -5p = 9p + -128 (12 + -6p) + -5p = 9p + -128 Combine like terms: -6p + -5p = -11p 12 + -11p = 9p + -128 Reorder the terms: 12 + -11p = -128 + 9p Solving 12 + -11p = -128 + 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 + -11p + -9p = -128 + 9p + -9p Combine like terms: -11p + -9p = -20p 12 + -20p = -128 + 9p + -9p Combine like terms: 9p + -9p = 0 12 + -20p = -128 + 0 12 + -20p = -128 Add '-12' to each side of the equation. 12 + -12 + -20p = -128 + -12 Combine like terms: 12 + -12 = 0 0 + -20p = -128 + -12 -20p = -128 + -12 Combine like terms: -128 + -12 = -140 -20p = -140 Divide each side by '-20'. p = 7 Simplifying p = 7
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