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Simplifying z + 30 = 42 + -1z Reorder the terms: 30 + z = 42 + -1z Solving 30 + z = 42 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 30 + z + z = 42 + -1z + z Combine like terms: z + z = 2z 30 + 2z = 42 + -1z + z Combine like terms: -1z + z = 0 30 + 2z = 42 + 0 30 + 2z = 42 Add '-30' to each side of the equation. 30 + -30 + 2z = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 2z = 42 + -30 2z = 42 + -30 Combine like terms: 42 + -30 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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