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Simplifying 7p + 2y + 6z + -5x + 2z + -3y = 0 Reorder the terms: 7p + -5x + 2y + -3y + 6z + 2z = 0 Combine like terms: 2y + -3y = -1y 7p + -5x + -1y + 6z + 2z = 0 Combine like terms: 6z + 2z = 8z 7p + -5x + -1y + 8z = 0 Solving 7p + -5x + -1y + 8z = 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. 7p + -5x + -1y + 5x + 8z = 0 + 5x Reorder the terms: 7p + -5x + 5x + -1y + 8z = 0 + 5x Combine like terms: -5x + 5x = 0 7p + 0 + -1y + 8z = 0 + 5x 7p + -1y + 8z = 0 + 5x Remove the zero: 7p + -1y + 8z = 5x Add 'y' to each side of the equation. 7p + -1y + y + 8z = 5x + y Combine like terms: -1y + y = 0 7p + 0 + 8z = 5x + y 7p + 8z = 5x + y Add '-8z' to each side of the equation. 7p + 8z + -8z = 5x + y + -8z Combine like terms: 8z + -8z = 0 7p + 0 = 5x + y + -8z 7p = 5x + y + -8z Divide each side by '7'. p = 0.7142857143x + 0.1428571429y + -1.142857143z Simplifying p = 0.7142857143x + 0.1428571429y + -1.142857143z
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