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Simplifying -5(5p + -7) = 14 + -4p Reorder the terms: -5(-7 + 5p) = 14 + -4p (-7 * -5 + 5p * -5) = 14 + -4p (35 + -25p) = 14 + -4p Solving 35 + -25p = 14 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 35 + -25p + 4p = 14 + -4p + 4p Combine like terms: -25p + 4p = -21p 35 + -21p = 14 + -4p + 4p Combine like terms: -4p + 4p = 0 35 + -21p = 14 + 0 35 + -21p = 14 Add '-35' to each side of the equation. 35 + -35 + -21p = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -21p = 14 + -35 -21p = 14 + -35 Combine like terms: 14 + -35 = -21 -21p = -21 Divide each side by '-21'. p = 1 Simplifying p = 1
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