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Simplifying -7 + 8z + 6 + -6z = 0 Reorder the terms: -7 + 6 + 8z + -6z = 0 Combine like terms: -7 + 6 = -1 -1 + 8z + -6z = 0 Combine like terms: 8z + -6z = 2z -1 + 2z = 0 Solving -1 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 0 + 1 2z = 0 + 1 Combine like terms: 0 + 1 = 1 2z = 1 Divide each side by '2'. z = 0.5 Simplifying z = 0.5
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