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Simplifying 5x + 2y + 3p + 4y + -1p = 0 Reorder the terms: 3p + -1p + 5x + 2y + 4y = 0 Combine like terms: 3p + -1p = 2p 2p + 5x + 2y + 4y = 0 Combine like terms: 2y + 4y = 6y 2p + 5x + 6y = 0 Solving 2p + 5x + 6y = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5x' to each side of the equation. 2p + 5x + -5x + 6y = 0 + -5x Combine like terms: 5x + -5x = 0 2p + 0 + 6y = 0 + -5x 2p + 6y = 0 + -5x Remove the zero: 2p + 6y = -5x Add '-6y' to each side of the equation. 2p + 6y + -6y = -5x + -6y Combine like terms: 6y + -6y = 0 2p + 0 = -5x + -6y 2p = -5x + -6y Divide each side by '2'. p = -2.5x + -3y Simplifying p = -2.5x + -3y
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