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Simplifying 3z + 9 + 14z = 4z + 5 Reorder the terms: 9 + 3z + 14z = 4z + 5 Combine like terms: 3z + 14z = 17z 9 + 17z = 4z + 5 Reorder the terms: 9 + 17z = 5 + 4z Solving 9 + 17z = 5 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9 + 17z + -4z = 5 + 4z + -4z Combine like terms: 17z + -4z = 13z 9 + 13z = 5 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + 13z = 5 + 0 9 + 13z = 5 Add '-9' to each side of the equation. 9 + -9 + 13z = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 13z = 5 + -9 13z = 5 + -9 Combine like terms: 5 + -9 = -4 13z = -4 Divide each side by '13'. z = -0.3076923077 Simplifying z = -0.3076923077
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