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Simplifying 4 + 2z + -2 = 8z + 2 + -5z Reorder the terms: 4 + -2 + 2z = 8z + 2 + -5z Combine like terms: 4 + -2 = 2 2 + 2z = 8z + 2 + -5z Reorder the terms: 2 + 2z = 2 + 8z + -5z Combine like terms: 8z + -5z = 3z 2 + 2z = 2 + 3z Add '-2' to each side of the equation. 2 + -2 + 2z = 2 + -2 + 3z Combine like terms: 2 + -2 = 0 0 + 2z = 2 + -2 + 3z 2z = 2 + -2 + 3z Combine like terms: 2 + -2 = 0 2z = 0 + 3z 2z = 3z Solving 2z = 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. 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z -1z = 3z + -3z Combine like terms: 3z + -3z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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