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Simplifying -145 = -6(4 + -4p) + -1 -145 = (4 * -6 + -4p * -6) + -1 -145 = (-24 + 24p) + -1 Reorder the terms: -145 = -24 + -1 + 24p Combine like terms: -24 + -1 = -25 -145 = -25 + 24p Solving -145 = -25 + 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. -145 + -24p = -25 + 24p + -24p Combine like terms: 24p + -24p = 0 -145 + -24p = -25 + 0 -145 + -24p = -25 Add '145' to each side of the equation. -145 + 145 + -24p = -25 + 145 Combine like terms: -145 + 145 = 0 0 + -24p = -25 + 145 -24p = -25 + 145 Combine like terms: -25 + 145 = 120 -24p = 120 Divide each side by '-24'. p = -5 Simplifying p = -5
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