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Simplifying -4z + -7z = 8z + -2 + -7z Combine like terms: -4z + -7z = -11z -11z = 8z + -2 + -7z Reorder the terms: -11z = -2 + 8z + -7z Combine like terms: 8z + -7z = 1z -11z = -2 + 1z Solving -11z = -2 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -11z + -1z = -2 + 1z + -1z Combine like terms: -11z + -1z = -12z -12z = -2 + 1z + -1z Combine like terms: 1z + -1z = 0 -12z = -2 + 0 -12z = -2 Divide each side by '-12'. z = 0.1666666667 Simplifying z = 0.1666666667
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