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Simplifying 4p + 6y + -5x + 2 + -5y + -8 + 7 = 0 Reorder the terms: 2 + -8 + 7 + 4p + -5x + 6y + -5y = 0 Combine like terms: 2 + -8 = -6 -6 + 7 + 4p + -5x + 6y + -5y = 0 Combine like terms: -6 + 7 = 1 1 + 4p + -5x + 6y + -5y = 0 Combine like terms: 6y + -5y = 1y 1 + 4p + -5x + 1y = 0 Solving 1 + 4p + -5x + 1y = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4p + -5x + -1 + 1y = 0 + -1 Reorder the terms: 1 + -1 + 4p + -5x + 1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p + -5x + 1y = 0 + -1 4p + -5x + 1y = 0 + -1 Combine like terms: 0 + -1 = -1 4p + -5x + 1y = -1 Add '5x' to each side of the equation. 4p + -5x + 5x + 1y = -1 + 5x Combine like terms: -5x + 5x = 0 4p + 0 + 1y = -1 + 5x 4p + 1y = -1 + 5x Add '-1y' to each side of the equation. 4p + 1y + -1y = -1 + 5x + -1y Combine like terms: 1y + -1y = 0 4p + 0 = -1 + 5x + -1y 4p = -1 + 5x + -1y Divide each side by '4'. p = -0.25 + 1.25x + -0.25y Simplifying p = -0.25 + 1.25x + -0.25y
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