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Simplifying 7z + 2z + -3z + -7 = 0 Reorder the terms: -7 + 7z + 2z + -3z = 0 Combine like terms: 7z + 2z = 9z -7 + 9z + -3z = 0 Combine like terms: 9z + -3z = 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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