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Simplifying -6(-8p + 6) + 7(-8 + -9p) = -3p + 4 Reorder the terms: -6(6 + -8p) + 7(-8 + -9p) = -3p + 4 (6 * -6 + -8p * -6) + 7(-8 + -9p) = -3p + 4 (-36 + 48p) + 7(-8 + -9p) = -3p + 4 -36 + 48p + (-8 * 7 + -9p * 7) = -3p + 4 -36 + 48p + (-56 + -63p) = -3p + 4 Reorder the terms: -36 + -56 + 48p + -63p = -3p + 4 Combine like terms: -36 + -56 = -92 -92 + 48p + -63p = -3p + 4 Combine like terms: 48p + -63p = -15p -92 + -15p = -3p + 4 Reorder the terms: -92 + -15p = 4 + -3p Solving -92 + -15p = 4 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -92 + -15p + 3p = 4 + -3p + 3p Combine like terms: -15p + 3p = -12p -92 + -12p = 4 + -3p + 3p Combine like terms: -3p + 3p = 0 -92 + -12p = 4 + 0 -92 + -12p = 4 Add '92' to each side of the equation. -92 + 92 + -12p = 4 + 92 Combine like terms: -92 + 92 = 0 0 + -12p = 4 + 92 -12p = 4 + 92 Combine like terms: 4 + 92 = 96 -12p = 96 Divide each side by '-12'. p = -8 Simplifying p = -8
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