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Simplifying 4z + 3p + 4z + 5 = 0 Reorder the terms: 5 + 3p + 4z + 4z = 0 Combine like terms: 4z + 4z = 8z 5 + 3p + 8z = 0 Solving 5 + 3p + 8z = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3p + -5 + 8z = 0 + -5 Reorder the terms: 5 + -5 + 3p + 8z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p + 8z = 0 + -5 3p + 8z = 0 + -5 Combine like terms: 0 + -5 = -5 3p + 8z = -5 Add '-8z' to each side of the equation. 3p + 8z + -8z = -5 + -8z Combine like terms: 8z + -8z = 0 3p + 0 = -5 + -8z 3p = -5 + -8z Divide each side by '3'. p = -1.666666667 + -2.666666667z Simplifying p = -1.666666667 + -2.666666667z
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