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Simplifying 1 + 6z + -1z = 2z + 4 Combine like terms: 6z + -1z = 5z 1 + 5z = 2z + 4 Reorder the terms: 1 + 5z = 4 + 2z Solving 1 + 5z = 4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 5z + -2z = 4 + 2z + -2z Combine like terms: 5z + -2z = 3z 1 + 3z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 3z = 4 + 0 1 + 3z = 4 Add '-1' to each side of the equation. 1 + -1 + 3z = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 4 + -1 3z = 4 + -1 Combine like terms: 4 + -1 = 3 3z = 3 Divide each side by '3'. z = 1 Simplifying z = 1
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