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Simplifying 3(p + 15) + 4(11 + -1p) = 0 Reorder the terms: 3(15 + p) + 4(11 + -1p) = 0 (15 * 3 + p * 3) + 4(11 + -1p) = 0 (45 + 3p) + 4(11 + -1p) = 0 45 + 3p + (11 * 4 + -1p * 4) = 0 45 + 3p + (44 + -4p) = 0 Reorder the terms: 45 + 44 + 3p + -4p = 0 Combine like terms: 45 + 44 = 89 89 + 3p + -4p = 0 Combine like terms: 3p + -4p = -1p 89 + -1p = 0 Solving 89 + -1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + -1p = 0 + -89 Combine like terms: 89 + -89 = 0 0 + -1p = 0 + -89 -1p = 0 + -89 Combine like terms: 0 + -89 = -89 -1p = -89 Divide each side by '-1'. p = 89 Simplifying p = 89
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