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Simplifying -8 = -8(6 + -5p) + -7(5 + -5p) -8 = (6 * -8 + -5p * -8) + -7(5 + -5p) -8 = (-48 + 40p) + -7(5 + -5p) -8 = -48 + 40p + (5 * -7 + -5p * -7) -8 = -48 + 40p + (-35 + 35p) Reorder the terms: -8 = -48 + -35 + 40p + 35p Combine like terms: -48 + -35 = -83 -8 = -83 + 40p + 35p Combine like terms: 40p + 35p = 75p -8 = -83 + 75p Solving -8 = -83 + 75p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-75p' to each side of the equation. -8 + -75p = -83 + 75p + -75p Combine like terms: 75p + -75p = 0 -8 + -75p = -83 + 0 -8 + -75p = -83 Add '8' to each side of the equation. -8 + 8 + -75p = -83 + 8 Combine like terms: -8 + 8 = 0 0 + -75p = -83 + 8 -75p = -83 + 8 Combine like terms: -83 + 8 = -75 -75p = -75 Divide each side by '-75'. p = 1 Simplifying p = 1
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