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Simplifying 3z + 24 = z + 40 Reorder the terms: 24 + 3z = z + 40 Reorder the terms: 24 + 3z = 40 + z Solving 24 + 3z = 40 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 24 + 3z + -1z = 40 + z + -1z Combine like terms: 3z + -1z = 2z 24 + 2z = 40 + z + -1z Combine like terms: z + -1z = 0 24 + 2z = 40 + 0 24 + 2z = 40 Add '-24' to each side of the equation. 24 + -24 + 2z = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = 40 + -24 2z = 40 + -24 Combine like terms: 40 + -24 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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