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Simplifying 3z + 26 = 42 + z + 37 Reorder the terms: 26 + 3z = 42 + z + 37 Reorder the terms: 26 + 3z = 42 + 37 + z Combine like terms: 42 + 37 = 79 26 + 3z = 79 + z Solving 26 + 3z = 79 + 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. 26 + 3z + -1z = 79 + z + -1z Combine like terms: 3z + -1z = 2z 26 + 2z = 79 + z + -1z Combine like terms: z + -1z = 0 26 + 2z = 79 + 0 26 + 2z = 79 Add '-26' to each side of the equation. 26 + -26 + 2z = 79 + -26 Combine like terms: 26 + -26 = 0 0 + 2z = 79 + -26 2z = 79 + -26 Combine like terms: 79 + -26 = 53 2z = 53 Divide each side by '2'. z = 26.5 Simplifying z = 26.5
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