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Simplifying 4 + -7z = 6 + -1z Solving 4 + -7z = 6 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 4 + -7z + z = 6 + -1z + z Combine like terms: -7z + z = -6z 4 + -6z = 6 + -1z + z Combine like terms: -1z + z = 0 4 + -6z = 6 + 0 4 + -6z = 6 Add '-4' to each side of the equation. 4 + -4 + -6z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -6z = 6 + -4 -6z = 6 + -4 Combine like terms: 6 + -4 = 2 -6z = 2 Divide each side by '-6'. z = -0.3333333333 Simplifying z = -0.3333333333
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