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Simplifying 4 + 4z + -2 = 8z + 2 + -3z Reorder the terms: 4 + -2 + 4z = 8z + 2 + -3z Combine like terms: 4 + -2 = 2 2 + 4z = 8z + 2 + -3z Reorder the terms: 2 + 4z = 2 + 8z + -3z Combine like terms: 8z + -3z = 5z 2 + 4z = 2 + 5z Add '-2' to each side of the equation. 2 + -2 + 4z = 2 + -2 + 5z Combine like terms: 2 + -2 = 0 0 + 4z = 2 + -2 + 5z 4z = 2 + -2 + 5z Combine like terms: 2 + -2 = 0 4z = 0 + 5z 4z = 5z Solving 4z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4z + -5z = 5z + -5z Combine like terms: 4z + -5z = -1z -1z = 5z + -5z Combine like terms: 5z + -5z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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