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Simplifying 4z + 7 + 3z = 8 + 4z Reorder the terms: 7 + 4z + 3z = 8 + 4z Combine like terms: 4z + 3z = 7z 7 + 7z = 8 + 4z Solving 7 + 7z = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7 + 7z + -4z = 8 + 4z + -4z Combine like terms: 7z + -4z = 3z 7 + 3z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + 3z = 8 + 0 7 + 3z = 8 Add '-7' to each side of the equation. 7 + -7 + 3z = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = 8 + -7 3z = 8 + -7 Combine like terms: 8 + -7 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333
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