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Simplifying 5z * 2 + 7z * 2 + -2 + 4 + 6z = 0 Reorder the terms for easier multiplication: 5 * 2z + 7z * 2 + -2 + 4 + 6z = 0 Multiply 5 * 2 10z + 7z * 2 + -2 + 4 + 6z = 0 Reorder the terms for easier multiplication: 10z + 7 * 2z + -2 + 4 + 6z = 0 Multiply 7 * 2 10z + 14z + -2 + 4 + 6z = 0 Reorder the terms: -2 + 4 + 10z + 14z + 6z = 0 Combine like terms: -2 + 4 = 2 2 + 10z + 14z + 6z = 0 Combine like terms: 10z + 14z = 24z 2 + 24z + 6z = 0 Combine like terms: 24z + 6z = 30z 2 + 30z = 0 Solving 2 + 30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 30z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 30z = 0 + -2 30z = 0 + -2 Combine like terms: 0 + -2 = -2 30z = -2 Divide each side by '30'. z = -0.06666666667 Simplifying z = -0.06666666667
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