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Simplifying z + 42 = 56 + -1z Reorder the terms: 42 + z = 56 + -1z Solving 42 + z = 56 + -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. 42 + z + z = 56 + -1z + z Combine like terms: z + z = 2z 42 + 2z = 56 + -1z + z Combine like terms: -1z + z = 0 42 + 2z = 56 + 0 42 + 2z = 56 Add '-42' to each side of the equation. 42 + -42 + 2z = 56 + -42 Combine like terms: 42 + -42 = 0 0 + 2z = 56 + -42 2z = 56 + -42 Combine like terms: 56 + -42 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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