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Simplifying 34 + -2z = z + 4 Reorder the terms: 34 + -2z = 4 + z Solving 34 + -2z = 4 + 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 + -2z + -1z = 4 + z + -1z Combine like terms: -2z + -1z = -3z 34 + -3z = 4 + z + -1z Combine like terms: z + -1z = 0 34 + -3z = 4 + 0 34 + -3z = 4 Add '-34' to each side of the equation. 34 + -34 + -3z = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -3z = 4 + -34 -3z = 4 + -34 Combine like terms: 4 + -34 = -30 -3z = -30 Divide each side by '-3'. z = 10 Simplifying z = 10
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