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Simplifying -3.4(5z + -7) + 0.1z = 0 Reorder the terms: -3.4(-7 + 5z) + 0.1z = 0 (-7 * -3.4 + 5z * -3.4) + 0.1z = 0 (23.8 + -17z) + 0.1z = 0 Combine like terms: -17z + 0.1z = -16.9z 23.8 + -16.9z = 0 Solving 23.8 + -16.9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23.8' to each side of the equation. 23.8 + -23.8 + -16.9z = 0 + -23.8 Combine like terms: 23.8 + -23.8 = 0.0 0.0 + -16.9z = 0 + -23.8 -16.9z = 0 + -23.8 Combine like terms: 0 + -23.8 = -23.8 -16.9z = -23.8 Divide each side by '-16.9'. z = 1.408284024 Simplifying z = 1.408284024
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