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Simplifying -7(1 + 8p) + -5(6p + -4) = -73 (1 * -7 + 8p * -7) + -5(6p + -4) = -73 (-7 + -56p) + -5(6p + -4) = -73 Reorder the terms: -7 + -56p + -5(-4 + 6p) = -73 -7 + -56p + (-4 * -5 + 6p * -5) = -73 -7 + -56p + (20 + -30p) = -73 Reorder the terms: -7 + 20 + -56p + -30p = -73 Combine like terms: -7 + 20 = 13 13 + -56p + -30p = -73 Combine like terms: -56p + -30p = -86p 13 + -86p = -73 Solving 13 + -86p = -73 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -86p = -73 + -13 Combine like terms: 13 + -13 = 0 0 + -86p = -73 + -13 -86p = -73 + -13 Combine like terms: -73 + -13 = -86 -86p = -86 Divide each side by '-86'. p = 1 Simplifying p = 1
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