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Simplifying 7 + -1z = 4 + 6z Solving 7 + -1z = 4 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + -1z + -6z = 4 + 6z + -6z Combine like terms: -1z + -6z = -7z 7 + -7z = 4 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + -7z = 4 + 0 7 + -7z = 4 Add '-7' to each side of the equation. 7 + -7 + -7z = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = 4 + -7 -7z = 4 + -7 Combine like terms: 4 + -7 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286
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