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Simplifying -7(4) + -5(5 + -3(4)) = 6(p + 4) + -9 Multiply -7 * 4 -28 + -5(5 + -3(4)) = 6(p + 4) + -9 Multiply -3 * 4 -28 + -5(5 + -12) = 6(p + 4) + -9 Combine like terms: 5 + -12 = -7 -28 + -5(-7) = 6(p + 4) + -9 Multiply -5 * -7 -28 + 35 = 6(p + 4) + -9 Combine like terms: -28 + 35 = 7 7 = 6(p + 4) + -9 Reorder the terms: 7 = 6(4 + p) + -9 7 = (4 * 6 + p * 6) + -9 7 = (24 + 6p) + -9 Reorder the terms: 7 = 24 + -9 + 6p Combine like terms: 24 + -9 = 15 7 = 15 + 6p Solving 7 = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 7 + -6p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 7 + -6p = 15 + 0 7 + -6p = 15 Add '-7' to each side of the equation. 7 + -7 + -6p = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -6p = 15 + -7 -6p = 15 + -7 Combine like terms: 15 + -7 = 8 -6p = 8 Divide each side by '-6'. p = -1.333333333 Simplifying p = -1.333333333
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