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Simplifying 34 = z + 41 Reorder the terms: 34 = 41 + z Solving 34 = 41 + 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. 34 + -1z = 41 + z + -1z Combine like terms: z + -1z = 0 34 + -1z = 41 + 0 34 + -1z = 41 Add '-34' to each side of the equation. 34 + -34 + -1z = 41 + -34 Combine like terms: 34 + -34 = 0 0 + -1z = 41 + -34 -1z = 41 + -34 Combine like terms: 41 + -34 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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