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Simplifying 5 + -3p = -7(2p + -7) Reorder the terms: 5 + -3p = -7(-7 + 2p) 5 + -3p = (-7 * -7 + 2p * -7) 5 + -3p = (49 + -14p) Solving 5 + -3p = 49 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 5 + -3p + 14p = 49 + -14p + 14p Combine like terms: -3p + 14p = 11p 5 + 11p = 49 + -14p + 14p Combine like terms: -14p + 14p = 0 5 + 11p = 49 + 0 5 + 11p = 49 Add '-5' to each side of the equation. 5 + -5 + 11p = 49 + -5 Combine like terms: 5 + -5 = 0 0 + 11p = 49 + -5 11p = 49 + -5 Combine like terms: 49 + -5 = 44 11p = 44 Divide each side by '11'. p = 4 Simplifying p = 4
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