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Simplifying -60 = -7(4 + -8p) + -8(5 + 6p) -60 = (4 * -7 + -8p * -7) + -8(5 + 6p) -60 = (-28 + 56p) + -8(5 + 6p) -60 = -28 + 56p + (5 * -8 + 6p * -8) -60 = -28 + 56p + (-40 + -48p) Reorder the terms: -60 = -28 + -40 + 56p + -48p Combine like terms: -28 + -40 = -68 -60 = -68 + 56p + -48p Combine like terms: 56p + -48p = 8p -60 = -68 + 8p Solving -60 = -68 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -60 + -8p = -68 + 8p + -8p Combine like terms: 8p + -8p = 0 -60 + -8p = -68 + 0 -60 + -8p = -68 Add '60' to each side of the equation. -60 + 60 + -8p = -68 + 60 Combine like terms: -60 + 60 = 0 0 + -8p = -68 + 60 -8p = -68 + 60 Combine like terms: -68 + 60 = -8 -8p = -8 Divide each side by '-8'. p = 1 Simplifying p = 1
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