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Simplifying 81 = -9(5 + -6p) + 3(p + 4) 81 = (5 * -9 + -6p * -9) + 3(p + 4) 81 = (-45 + 54p) + 3(p + 4) Reorder the terms: 81 = -45 + 54p + 3(4 + p) 81 = -45 + 54p + (4 * 3 + p * 3) 81 = -45 + 54p + (12 + 3p) Reorder the terms: 81 = -45 + 12 + 54p + 3p Combine like terms: -45 + 12 = -33 81 = -33 + 54p + 3p Combine like terms: 54p + 3p = 57p 81 = -33 + 57p Solving 81 = -33 + 57p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-57p' to each side of the equation. 81 + -57p = -33 + 57p + -57p Combine like terms: 57p + -57p = 0 81 + -57p = -33 + 0 81 + -57p = -33 Add '-81' to each side of the equation. 81 + -81 + -57p = -33 + -81 Combine like terms: 81 + -81 = 0 0 + -57p = -33 + -81 -57p = -33 + -81 Combine like terms: -33 + -81 = -114 -57p = -114 Divide each side by '-57'. p = 2 Simplifying p = 2
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