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Simplifying 6 + -3z + -2z + -5 + z + -3z = 0 Reorder the terms: 6 + -5 + -3z + -2z + z + -3z = 0 Combine like terms: 6 + -5 = 1 1 + -3z + -2z + z + -3z = 0 Combine like terms: -3z + -2z = -5z 1 + -5z + z + -3z = 0 Combine like terms: -5z + z = -4z 1 + -4z + -3z = 0 Combine like terms: -4z + -3z = -7z 1 + -7z = 0 Solving 1 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7z = 0 + -1 -7z = 0 + -1 Combine like terms: 0 + -1 = -1 -7z = -1 Divide each side by '-7'. z = 0.1428571429 Simplifying z = 0.1428571429
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