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Simplifying -40 + -8p = -4p + 5(8p + -8) Reorder the terms: -40 + -8p = -4p + 5(-8 + 8p) -40 + -8p = -4p + (-8 * 5 + 8p * 5) -40 + -8p = -4p + (-40 + 40p) Reorder the terms: -40 + -8p = -40 + -4p + 40p Combine like terms: -4p + 40p = 36p -40 + -8p = -40 + 36p Add '40' to each side of the equation. -40 + 40 + -8p = -40 + 40 + 36p Combine like terms: -40 + 40 = 0 0 + -8p = -40 + 40 + 36p -8p = -40 + 40 + 36p Combine like terms: -40 + 40 = 0 -8p = 0 + 36p -8p = 36p Solving -8p = 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. -8p + -36p = 36p + -36p Combine like terms: -8p + -36p = -44p -44p = 36p + -36p Combine like terms: 36p + -36p = 0 -44p = 0 Divide each side by '-44'. p = 0 Simplifying p = 0
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