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Simplifying 1 + -3z = 3z + -23 Reorder the terms: 1 + -3z = -23 + 3z Solving 1 + -3z = -23 + 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 + -3z + -3z = -23 + 3z + -3z Combine like terms: -3z + -3z = -6z 1 + -6z = -23 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -6z = -23 + 0 1 + -6z = -23 Add '-1' to each side of the equation. 1 + -1 + -6z = -23 + -1 Combine like terms: 1 + -1 = 0 0 + -6z = -23 + -1 -6z = -23 + -1 Combine like terms: -23 + -1 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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