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Simplifying 92 = 6(6p + -8) + -4 Reorder the terms: 92 = 6(-8 + 6p) + -4 92 = (-8 * 6 + 6p * 6) + -4 92 = (-48 + 36p) + -4 Reorder the terms: 92 = -48 + -4 + 36p Combine like terms: -48 + -4 = -52 92 = -52 + 36p Solving 92 = -52 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 92 + -36p = -52 + 36p + -36p Combine like terms: 36p + -36p = 0 92 + -36p = -52 + 0 92 + -36p = -52 Add '-92' to each side of the equation. 92 + -92 + -36p = -52 + -92 Combine like terms: 92 + -92 = 0 0 + -36p = -52 + -92 -36p = -52 + -92 Combine like terms: -52 + -92 = -144 -36p = -144 Divide each side by '-36'. p = 4 Simplifying p = 4
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