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Simplifying -2(4z + -6) + -3(3z + 2) + -6z = 0 Reorder the terms: -2(-6 + 4z) + -3(3z + 2) + -6z = 0 (-6 * -2 + 4z * -2) + -3(3z + 2) + -6z = 0 (12 + -8z) + -3(3z + 2) + -6z = 0 Reorder the terms: 12 + -8z + -3(2 + 3z) + -6z = 0 12 + -8z + (2 * -3 + 3z * -3) + -6z = 0 12 + -8z + (-6 + -9z) + -6z = 0 Reorder the terms: 12 + -6 + -8z + -9z + -6z = 0 Combine like terms: 12 + -6 = 6 6 + -8z + -9z + -6z = 0 Combine like terms: -8z + -9z = -17z 6 + -17z + -6z = 0 Combine like terms: -17z + -6z = -23z 6 + -23z = 0 Solving 6 + -23z = 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 + -23z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -23z = 0 + -6 -23z = 0 + -6 Combine like terms: 0 + -6 = -6 -23z = -6 Divide each side by '-23'. z = 0.2608695652 Simplifying z = 0.2608695652
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