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