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Simplifying -1p + 8p = 8(p + -5) + -4(p + -7) Combine like terms: -1p + 8p = 7p 7p = 8(p + -5) + -4(p + -7) Reorder the terms: 7p = 8(-5 + p) + -4(p + -7) 7p = (-5 * 8 + p * 8) + -4(p + -7) 7p = (-40 + 8p) + -4(p + -7) Reorder the terms: 7p = -40 + 8p + -4(-7 + p) 7p = -40 + 8p + (-7 * -4 + p * -4) 7p = -40 + 8p + (28 + -4p) Reorder the terms: 7p = -40 + 28 + 8p + -4p Combine like terms: -40 + 28 = -12 7p = -12 + 8p + -4p Combine like terms: 8p + -4p = 4p 7p = -12 + 4p Solving 7p = -12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7p + -4p = -12 + 4p + -4p Combine like terms: 7p + -4p = 3p 3p = -12 + 4p + -4p Combine like terms: 4p + -4p = 0 3p = -12 + 0 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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