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Simplifying 6x + 3p + 7z + -6 + -3z = 0 Reorder the terms: -6 + 3p + 6x + 7z + -3z = 0 Combine like terms: 7z + -3z = 4z -6 + 3p + 6x + 4z = 0 Solving -6 + 3p + 6x + 4z = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3p + 6x + 6 + 4z = 0 + 6 Reorder the terms: -6 + 6 + 3p + 6x + 4z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3p + 6x + 4z = 0 + 6 3p + 6x + 4z = 0 + 6 Combine like terms: 0 + 6 = 6 3p + 6x + 4z = 6 Add '-6x' to each side of the equation. 3p + 6x + -6x + 4z = 6 + -6x Combine like terms: 6x + -6x = 0 3p + 0 + 4z = 6 + -6x 3p + 4z = 6 + -6x Add '-4z' to each side of the equation. 3p + 4z + -4z = 6 + -6x + -4z Combine like terms: 4z + -4z = 0 3p + 0 = 6 + -6x + -4z 3p = 6 + -6x + -4z Divide each side by '3'. p = 2 + -2x + -1.333333333z Simplifying p = 2 + -2x + -1.333333333z
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