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Simplifying -10z + -1z + -7 + 10z + 7z = 0 Reorder the terms: -7 + -10z + -1z + 10z + 7z = 0 Combine like terms: -10z + -1z = -11z -7 + -11z + 10z + 7z = 0 Combine like terms: -11z + 10z = -1z -7 + -1z + 7z = 0 Combine like terms: -1z + 7z = 6z -7 + 6z = 0 Solving -7 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6z = 0 + 7 6z = 0 + 7 Combine like terms: 0 + 7 = 7 6z = 7 Divide each side by '6'. z = 1.166666667 Simplifying z = 1.166666667
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