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