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Simplifying -4p + 40 = -8(-1p + -5) Reorder the terms: 40 + -4p = -8(-1p + -5) Reorder the terms: 40 + -4p = -8(-5 + -1p) 40 + -4p = (-5 * -8 + -1p * -8) 40 + -4p = (40 + 8p) Add '-40' to each side of the equation. 40 + -40 + -4p = 40 + -40 + 8p Combine like terms: 40 + -40 = 0 0 + -4p = 40 + -40 + 8p -4p = 40 + -40 + 8p Combine like terms: 40 + -40 = 0 -4p = 0 + 8p -4p = 8p Solving -4p = 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. -4p + -8p = 8p + -8p Combine like terms: -4p + -8p = -12p -12p = 8p + -8p Combine like terms: 8p + -8p = 0 -12p = 0 Divide each side by '-12'. p = 0 Simplifying p = 0
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