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Simplifying -7 + 6z + 2 + -3z = 0 Reorder the terms: -7 + 2 + 6z + -3z = 0 Combine like terms: -7 + 2 = -5 -5 + 6z + -3z = 0 Combine like terms: 6z + -3z = 3z -5 + 3z = 0 Solving -5 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 0 + 5 3z = 0 + 5 Combine like terms: 0 + 5 = 5 3z = 5 Divide each side by '3'. z = 1.666666667 Simplifying z = 1.666666667
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