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Simplifying 5.9 + 4(6.7 + -10.2z) = 0 5.9 + (6.7 * 4 + -10.2z * 4) = 0 5.9 + (26.8 + -40.8z) = 0 Combine like terms: 5.9 + 26.8 = 32.7 32.7 + -40.8z = 0 Solving 32.7 + -40.8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32.7' to each side of the equation. 32.7 + -32.7 + -40.8z = 0 + -32.7 Combine like terms: 32.7 + -32.7 = 0.0 0.0 + -40.8z = 0 + -32.7 -40.8z = 0 + -32.7 Combine like terms: 0 + -32.7 = -32.7 -40.8z = -32.7 Divide each side by '-40.8'. z = 0.8014705882 Simplifying z = 0.8014705882
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