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Simplifying 3y + 2x + 5p = 2p + 3x + -2y Reorder the terms: 5p + 2x + 3y = 2p + 3x + -2y Solving 5p + 2x + 3y = 2p + 3x + -2y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 5p + 2x + -2p + 3y = 2p + 3x + -2p + -2y Reorder the terms: 5p + -2p + 2x + 3y = 2p + 3x + -2p + -2y Combine like terms: 5p + -2p = 3p 3p + 2x + 3y = 2p + 3x + -2p + -2y Reorder the terms: 3p + 2x + 3y = 2p + -2p + 3x + -2y Combine like terms: 2p + -2p = 0 3p + 2x + 3y = 0 + 3x + -2y 3p + 2x + 3y = 3x + -2y Add '-2x' to each side of the equation. 3p + 2x + -2x + 3y = 3x + -2x + -2y Combine like terms: 2x + -2x = 0 3p + 0 + 3y = 3x + -2x + -2y 3p + 3y = 3x + -2x + -2y Combine like terms: 3x + -2x = 1x 3p + 3y = 1x + -2y Add '-3y' to each side of the equation. 3p + 3y + -3y = 1x + -2y + -3y Combine like terms: 3y + -3y = 0 3p + 0 = 1x + -2y + -3y 3p = 1x + -2y + -3y Combine like terms: -2y + -3y = -5y 3p = 1x + -5y Divide each side by '3'. p = 0.3333333333x + -1.666666667y Simplifying p = 0.3333333333x + -1.666666667y
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