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Simplifying 4(p + 5) = 5(p + -7) Reorder the terms: 4(5 + p) = 5(p + -7) (5 * 4 + p * 4) = 5(p + -7) (20 + 4p) = 5(p + -7) Reorder the terms: 20 + 4p = 5(-7 + p) 20 + 4p = (-7 * 5 + p * 5) 20 + 4p = (-35 + 5p) Solving 20 + 4p = -35 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 20 + 4p + -5p = -35 + 5p + -5p Combine like terms: 4p + -5p = -1p 20 + -1p = -35 + 5p + -5p Combine like terms: 5p + -5p = 0 20 + -1p = -35 + 0 20 + -1p = -35 Add '-20' to each side of the equation. 20 + -20 + -1p = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -1p = -35 + -20 -1p = -35 + -20 Combine like terms: -35 + -20 = -55 -1p = -55 Divide each side by '-1'. p = 55 Simplifying p = 55
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