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Simplifying 2 + -8z = 47 + -1z Solving 2 + -8z = 47 + -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. 2 + -8z + z = 47 + -1z + z Combine like terms: -8z + z = -7z 2 + -7z = 47 + -1z + z Combine like terms: -1z + z = 0 2 + -7z = 47 + 0 2 + -7z = 47 Add '-2' to each side of the equation. 2 + -2 + -7z = 47 + -2 Combine like terms: 2 + -2 = 0 0 + -7z = 47 + -2 -7z = 47 + -2 Combine like terms: 47 + -2 = 45 -7z = 45 Divide each side by '-7'. z = -6.428571429 Simplifying z = -6.428571429
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