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Simplifying z + 23 = 3z + 11 Reorder the terms: 23 + z = 3z + 11 Reorder the terms: 23 + z = 11 + 3z Solving 23 + z = 11 + 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. 23 + z + -3z = 11 + 3z + -3z Combine like terms: z + -3z = -2z 23 + -2z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 23 + -2z = 11 + 0 23 + -2z = 11 Add '-23' to each side of the equation. 23 + -23 + -2z = 11 + -23 Combine like terms: 23 + -23 = 0 0 + -2z = 11 + -23 -2z = 11 + -23 Combine like terms: 11 + -23 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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