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Simplifying 6 = 2 + -4z Solving 6 = 2 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 6 + 4z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 4z = 2 + 0 6 + 4z = 2 Add '-6' to each side of the equation. 6 + -6 + 4z = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 2 + -6 4z = 2 + -6 Combine like terms: 2 + -6 = -4 4z = -4 Divide each side by '4'. z = -1 Simplifying z = -1
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