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Simplifying -5(-7 + -2p) + 4 = -8 + -3(5p + 1) (-7 * -5 + -2p * -5) + 4 = -8 + -3(5p + 1) (35 + 10p) + 4 = -8 + -3(5p + 1) Reorder the terms: 35 + 4 + 10p = -8 + -3(5p + 1) Combine like terms: 35 + 4 = 39 39 + 10p = -8 + -3(5p + 1) Reorder the terms: 39 + 10p = -8 + -3(1 + 5p) 39 + 10p = -8 + (1 * -3 + 5p * -3) 39 + 10p = -8 + (-3 + -15p) Combine like terms: -8 + -3 = -11 39 + 10p = -11 + -15p Solving 39 + 10p = -11 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 39 + 10p + 15p = -11 + -15p + 15p Combine like terms: 10p + 15p = 25p 39 + 25p = -11 + -15p + 15p Combine like terms: -15p + 15p = 0 39 + 25p = -11 + 0 39 + 25p = -11 Add '-39' to each side of the equation. 39 + -39 + 25p = -11 + -39 Combine like terms: 39 + -39 = 0 0 + 25p = -11 + -39 25p = -11 + -39 Combine like terms: -11 + -39 = -50 25p = -50 Divide each side by '25'. p = -2 Simplifying p = -2
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