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Simplifying -8p + -1(5 + 4p) = 6(-7 + 4p) + 1 -8p + (5 * -1 + 4p * -1) = 6(-7 + 4p) + 1 -8p + (-5 + -4p) = 6(-7 + 4p) + 1 Reorder the terms: -5 + -8p + -4p = 6(-7 + 4p) + 1 Combine like terms: -8p + -4p = -12p -5 + -12p = 6(-7 + 4p) + 1 -5 + -12p = (-7 * 6 + 4p * 6) + 1 -5 + -12p = (-42 + 24p) + 1 Reorder the terms: -5 + -12p = -42 + 1 + 24p Combine like terms: -42 + 1 = -41 -5 + -12p = -41 + 24p Solving -5 + -12p = -41 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -5 + -12p + -24p = -41 + 24p + -24p Combine like terms: -12p + -24p = -36p -5 + -36p = -41 + 24p + -24p Combine like terms: 24p + -24p = 0 -5 + -36p = -41 + 0 -5 + -36p = -41 Add '5' to each side of the equation. -5 + 5 + -36p = -41 + 5 Combine like terms: -5 + 5 = 0 0 + -36p = -41 + 5 -36p = -41 + 5 Combine like terms: -41 + 5 = -36 -36p = -36 Divide each side by '-36'. p = 1 Simplifying p = 1
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