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Simplifying 2(4p + -6) + -6z = 14 Reorder the terms: 2(-6 + 4p) + -6z = 14 (-6 * 2 + 4p * 2) + -6z = 14 (-12 + 8p) + -6z = 14 Solving -12 + 8p + -6z = 14 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8p + 12 + -6z = 14 + 12 Reorder the terms: -12 + 12 + 8p + -6z = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 8p + -6z = 14 + 12 8p + -6z = 14 + 12 Combine like terms: 14 + 12 = 26 8p + -6z = 26 Add '6z' to each side of the equation. 8p + -6z + 6z = 26 + 6z Combine like terms: -6z + 6z = 0 8p + 0 = 26 + 6z 8p = 26 + 6z Divide each side by '8'. p = 3.25 + 0.75z Simplifying p = 3.25 + 0.75z
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