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Simplifying 4z + 2 = 3z + 8 Reorder the terms: 2 + 4z = 3z + 8 Reorder the terms: 2 + 4z = 8 + 3z Solving 2 + 4z = 8 + 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 + 4z + -3z = 8 + 3z + -3z Combine like terms: 4z + -3z = 1z 2 + 1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 1z = 8 + 0 2 + 1z = 8 Add '-2' to each side of the equation. 2 + -2 + 1z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 8 + -2 1z = 8 + -2 Combine like terms: 8 + -2 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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