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Simplifying 31 = -7(-5 + 6) + -4(4p + -4) Combine like terms: -5 + 6 = 1 31 = -7(1) + -4(4p + -4) Multiply -7 * 1 31 = -7 + -4(4p + -4) Reorder the terms: 31 = -7 + -4(-4 + 4p) 31 = -7 + (-4 * -4 + 4p * -4) 31 = -7 + (16 + -16p) Combine like terms: -7 + 16 = 9 31 = 9 + -16p Solving 31 = 9 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 31 + 16p = 9 + -16p + 16p Combine like terms: -16p + 16p = 0 31 + 16p = 9 + 0 31 + 16p = 9 Add '-31' to each side of the equation. 31 + -31 + 16p = 9 + -31 Combine like terms: 31 + -31 = 0 0 + 16p = 9 + -31 16p = 9 + -31 Combine like terms: 9 + -31 = -22 16p = -22 Divide each side by '16'. p = -1.375 Simplifying p = -1.375
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