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Simplifying 72 = 4(p + -3) + -2(6 + -6p) Reorder the terms: 72 = 4(-3 + p) + -2(6 + -6p) 72 = (-3 * 4 + p * 4) + -2(6 + -6p) 72 = (-12 + 4p) + -2(6 + -6p) 72 = -12 + 4p + (6 * -2 + -6p * -2) 72 = -12 + 4p + (-12 + 12p) Reorder the terms: 72 = -12 + -12 + 4p + 12p Combine like terms: -12 + -12 = -24 72 = -24 + 4p + 12p Combine like terms: 4p + 12p = 16p 72 = -24 + 16p Solving 72 = -24 + 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. 72 + -16p = -24 + 16p + -16p Combine like terms: 16p + -16p = 0 72 + -16p = -24 + 0 72 + -16p = -24 Add '-72' to each side of the equation. 72 + -72 + -16p = -24 + -72 Combine like terms: 72 + -72 = 0 0 + -16p = -24 + -72 -16p = -24 + -72 Combine like terms: -24 + -72 = -96 -16p = -96 Divide each side by '-16'. p = 6 Simplifying p = 6
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