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Simplifying 7(p + 7) + -4(9 + -1p) = 12 Reorder the terms: 7(7 + p) + -4(9 + -1p) = 12 (7 * 7 + p * 7) + -4(9 + -1p) = 12 (49 + 7p) + -4(9 + -1p) = 12 49 + 7p + (9 * -4 + -1p * -4) = 12 49 + 7p + (-36 + 4p) = 12 Reorder the terms: 49 + -36 + 7p + 4p = 12 Combine like terms: 49 + -36 = 13 13 + 7p + 4p = 12 Combine like terms: 7p + 4p = 11p 13 + 11p = 12 Solving 13 + 11p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11p = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 11p = 12 + -13 11p = 12 + -13 Combine like terms: 12 + -13 = -1 11p = -1 Divide each side by '11'. p = -0.09090909091 Simplifying p = -0.09090909091
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