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Simplifying 6z * 2 + -2z + 6 = 0 Reorder the terms for easier multiplication: 6 * 2z + -2z + 6 = 0 Multiply 6 * 2 12z + -2z + 6 = 0 Reorder the terms: 6 + 12z + -2z = 0 Combine like terms: 12z + -2z = 10z 6 + 10z = 0 Solving 6 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 10z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 10z = 0 + -6 10z = 0 + -6 Combine like terms: 0 + -6 = -6 10z = -6 Divide each side by '10'. z = -0.6 Simplifying z = -0.6
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