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Simplifying -81 = 3 + -7(p + 4) Reorder the terms: -81 = 3 + -7(4 + p) -81 = 3 + (4 * -7 + p * -7) -81 = 3 + (-28 + -7p) Combine like terms: 3 + -28 = -25 -81 = -25 + -7p Solving -81 = -25 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -81 + 7p = -25 + -7p + 7p Combine like terms: -7p + 7p = 0 -81 + 7p = -25 + 0 -81 + 7p = -25 Add '81' to each side of the equation. -81 + 81 + 7p = -25 + 81 Combine like terms: -81 + 81 = 0 0 + 7p = -25 + 81 7p = -25 + 81 Combine like terms: -25 + 81 = 56 7p = 56 Divide each side by '7'. p = 8 Simplifying p = 8
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