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Simplifying 3z + 4 = 7z + 2 Reorder the terms: 4 + 3z = 7z + 2 Reorder the terms: 4 + 3z = 2 + 7z Solving 4 + 3z = 2 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 4 + 3z + -7z = 2 + 7z + -7z Combine like terms: 3z + -7z = -4z 4 + -4z = 2 + 7z + -7z Combine like terms: 7z + -7z = 0 4 + -4z = 2 + 0 4 + -4z = 2 Add '-4' to each side of the equation. 4 + -4 + -4z = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4z = 2 + -4 -4z = 2 + -4 Combine like terms: 2 + -4 = -2 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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