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Simplifying 4 + 4z + -1 = 8z + 3 + -2z Reorder the terms: 4 + -1 + 4z = 8z + 3 + -2z Combine like terms: 4 + -1 = 3 3 + 4z = 8z + 3 + -2z Reorder the terms: 3 + 4z = 3 + 8z + -2z Combine like terms: 8z + -2z = 6z 3 + 4z = 3 + 6z Add '-3' to each side of the equation. 3 + -3 + 4z = 3 + -3 + 6z Combine like terms: 3 + -3 = 0 0 + 4z = 3 + -3 + 6z 4z = 3 + -3 + 6z Combine like terms: 3 + -3 = 0 4z = 0 + 6z 4z = 6z Solving 4z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 4z + -6z = 6z + -6z Combine like terms: 4z + -6z = -2z -2z = 6z + -6z Combine like terms: 6z + -6z = 0 -2z = 0 Divide each side by '-2'. z = 0 Simplifying z = 0
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