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Simplifying 4 + 5z + -6z * 2 = 0 Reorder the terms for easier multiplication: 4 + 5z + -6 * 2z = 0 Multiply -6 * 2 4 + 5z + -12z = 0 Combine like terms: 5z + -12z = -7z 4 + -7z = 0 Solving 4 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 0 + -4 -7z = 0 + -4 Combine like terms: 0 + -4 = -4 -7z = -4 Divide each side by '-7'. z = 0.5714285714 Simplifying z = 0.5714285714
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