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Simplifying -2p + 50y + 120 = 3p + 20 Reorder the terms: 120 + -2p + 50y = 3p + 20 Reorder the terms: 120 + -2p + 50y = 20 + 3p Solving 120 + -2p + 50y = 20 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 120 + -2p + -3p + 50y = 20 + 3p + -3p Combine like terms: -2p + -3p = -5p 120 + -5p + 50y = 20 + 3p + -3p Combine like terms: 3p + -3p = 0 120 + -5p + 50y = 20 + 0 120 + -5p + 50y = 20 Add '-120' to each side of the equation. 120 + -5p + -120 + 50y = 20 + -120 Reorder the terms: 120 + -120 + -5p + 50y = 20 + -120 Combine like terms: 120 + -120 = 0 0 + -5p + 50y = 20 + -120 -5p + 50y = 20 + -120 Combine like terms: 20 + -120 = -100 -5p + 50y = -100 Add '-50y' to each side of the equation. -5p + 50y + -50y = -100 + -50y Combine like terms: 50y + -50y = 0 -5p + 0 = -100 + -50y -5p = -100 + -50y Divide each side by '-5'. p = 20 + 10y Simplifying p = 20 + 10y
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