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Simplifying 48 = 6(p + -82) Reorder the terms: 48 = 6(-82 + p) 48 = (-82 * 6 + p * 6) 48 = (-492 + 6p) Solving 48 = -492 + 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. 48 + -6p = -492 + 6p + -6p Combine like terms: 6p + -6p = 0 48 + -6p = -492 + 0 48 + -6p = -492 Add '-48' to each side of the equation. 48 + -48 + -6p = -492 + -48 Combine like terms: 48 + -48 = 0 0 + -6p = -492 + -48 -6p = -492 + -48 Combine like terms: -492 + -48 = -540 -6p = -540 Divide each side by '-6'. p = 90 Simplifying p = 90
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