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Simplifying z + 2 = 34 + -3z Reorder the terms: 2 + z = 34 + -3z Solving 2 + z = 34 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2 + z + 3z = 34 + -3z + 3z Combine like terms: z + 3z = 4z 2 + 4z = 34 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 4z = 34 + 0 2 + 4z = 34 Add '-2' to each side of the equation. 2 + -2 + 4z = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = 34 + -2 4z = 34 + -2 Combine like terms: 34 + -2 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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