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Simplifying 3.9 = 5.4z + -4.8z + 0.3 Reorder the terms: 3.9 = 0.3 + 5.4z + -4.8z Combine like terms: 5.4z + -4.8z = 0.6z 3.9 = 0.3 + 0.6z Solving 3.9 = 0.3 + 0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.6z' to each side of the equation. 3.9 + -0.6z = 0.3 + 0.6z + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 3.9 + -0.6z = 0.3 + 0.0 3.9 + -0.6z = 0.3 Add '-3.9' to each side of the equation. 3.9 + -3.9 + -0.6z = 0.3 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -0.6z = 0.3 + -3.9 -0.6z = 0.3 + -3.9 Combine like terms: 0.3 + -3.9 = -3.6 -0.6z = -3.6 Divide each side by '-0.6'. z = 6 Simplifying z = 6
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