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Simplifying 5z + 9z = 3z + -4 + -2z Combine like terms: 5z + 9z = 14z 14z = 3z + -4 + -2z Reorder the terms: 14z = -4 + 3z + -2z Combine like terms: 3z + -2z = 1z 14z = -4 + 1z Solving 14z = -4 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 14z + -1z = -4 + 1z + -1z Combine like terms: 14z + -1z = 13z 13z = -4 + 1z + -1z Combine like terms: 1z + -1z = 0 13z = -4 + 0 13z = -4 Divide each side by '13'. z = -0.3076923077 Simplifying z = -0.3076923077
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