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Simplifying -25 + -6p = 5 + -8(-7p + -4) Reorder the terms: -25 + -6p = 5 + -8(-4 + -7p) -25 + -6p = 5 + (-4 * -8 + -7p * -8) -25 + -6p = 5 + (32 + 56p) Combine like terms: 5 + 32 = 37 -25 + -6p = 37 + 56p Solving -25 + -6p = 37 + 56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56p' to each side of the equation. -25 + -6p + -56p = 37 + 56p + -56p Combine like terms: -6p + -56p = -62p -25 + -62p = 37 + 56p + -56p Combine like terms: 56p + -56p = 0 -25 + -62p = 37 + 0 -25 + -62p = 37 Add '25' to each side of the equation. -25 + 25 + -62p = 37 + 25 Combine like terms: -25 + 25 = 0 0 + -62p = 37 + 25 -62p = 37 + 25 Combine like terms: 37 + 25 = 62 -62p = 62 Divide each side by '-62'. p = -1 Simplifying p = -1
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