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Simplifying -115 = 7(4p + -5) + -8p Reorder the terms: -115 = 7(-5 + 4p) + -8p -115 = (-5 * 7 + 4p * 7) + -8p -115 = (-35 + 28p) + -8p Combine like terms: 28p + -8p = 20p -115 = -35 + 20p Solving -115 = -35 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -115 + -20p = -35 + 20p + -20p Combine like terms: 20p + -20p = 0 -115 + -20p = -35 + 0 -115 + -20p = -35 Add '115' to each side of the equation. -115 + 115 + -20p = -35 + 115 Combine like terms: -115 + 115 = 0 0 + -20p = -35 + 115 -20p = -35 + 115 Combine like terms: -35 + 115 = 80 -20p = 80 Divide each side by '-20'. p = -4 Simplifying p = -4
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