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Simplifying 30.4 = 5.1z + -2.9 + 2.3 Reorder the terms: 30.4 = -2.9 + 2.3 + 5.1z Combine like terms: -2.9 + 2.3 = -0.6 30.4 = -0.6 + 5.1z Solving 30.4 = -0.6 + 5.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.1z' to each side of the equation. 30.4 + -5.1z = -0.6 + 5.1z + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 30.4 + -5.1z = -0.6 + 0.0 30.4 + -5.1z = -0.6 Add '-30.4' to each side of the equation. 30.4 + -30.4 + -5.1z = -0.6 + -30.4 Combine like terms: 30.4 + -30.4 = 0.0 0.0 + -5.1z = -0.6 + -30.4 -5.1z = -0.6 + -30.4 Combine like terms: -0.6 + -30.4 = -31 -5.1z = -31 Divide each side by '-5.1'. z = 6.078431373 Simplifying z = 6.078431373
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