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Simplifying z + 3 + z + 3 = z + 39 Reorder the terms: 3 + 3 + z + z = z + 39 Combine like terms: 3 + 3 = 6 6 + z + z = z + 39 Combine like terms: z + z = 2z 6 + 2z = z + 39 Reorder the terms: 6 + 2z = 39 + z Solving 6 + 2z = 39 + 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. 6 + 2z + -1z = 39 + z + -1z Combine like terms: 2z + -1z = 1z 6 + 1z = 39 + z + -1z Combine like terms: z + -1z = 0 6 + 1z = 39 + 0 6 + 1z = 39 Add '-6' to each side of the equation. 6 + -6 + 1z = 39 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 39 + -6 1z = 39 + -6 Combine like terms: 39 + -6 = 33 1z = 33 Divide each side by '1'. z = 33 Simplifying z = 33
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