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Simplifying 29 + 14z + 10p + -4z + -2p + -14 = 0 Reorder the terms: 29 + -14 + 10p + -2p + 14z + -4z = 0 Combine like terms: 29 + -14 = 15 15 + 10p + -2p + 14z + -4z = 0 Combine like terms: 10p + -2p = 8p 15 + 8p + 14z + -4z = 0 Combine like terms: 14z + -4z = 10z 15 + 8p + 10z = 0 Solving 15 + 8p + 10z = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 8p + -15 + 10z = 0 + -15 Reorder the terms: 15 + -15 + 8p + 10z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8p + 10z = 0 + -15 8p + 10z = 0 + -15 Combine like terms: 0 + -15 = -15 8p + 10z = -15 Add '-10z' to each side of the equation. 8p + 10z + -10z = -15 + -10z Combine like terms: 10z + -10z = 0 8p + 0 = -15 + -10z 8p = -15 + -10z Divide each side by '8'. p = -1.875 + -1.25z Simplifying p = -1.875 + -1.25z
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