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Simplifying 4z + 1 = 8 + -3z Reorder the terms: 1 + 4z = 8 + -3z Solving 1 + 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. 1 + 4z + 3z = 8 + -3z + 3z Combine like terms: 4z + 3z = 7z 1 + 7z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 1 + 7z = 8 + 0 1 + 7z = 8 Add '-1' to each side of the equation. 1 + -1 + 7z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7z = 8 + -1 7z = 8 + -1 Combine like terms: 8 + -1 = 7 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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