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Simplifying 2z + -12 + z + 8 = z + 42 Reorder the terms: -12 + 8 + 2z + z = z + 42 Combine like terms: -12 + 8 = -4 -4 + 2z + z = z + 42 Combine like terms: 2z + z = 3z -4 + 3z = z + 42 Reorder the terms: -4 + 3z = 42 + z Solving -4 + 3z = 42 + 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. -4 + 3z + -1z = 42 + z + -1z Combine like terms: 3z + -1z = 2z -4 + 2z = 42 + z + -1z Combine like terms: z + -1z = 0 -4 + 2z = 42 + 0 -4 + 2z = 42 Add '4' to each side of the equation. -4 + 4 + 2z = 42 + 4 Combine like terms: -4 + 4 = 0 0 + 2z = 42 + 4 2z = 42 + 4 Combine like terms: 42 + 4 = 46 2z = 46 Divide each side by '2'. z = 23 Simplifying z = 23
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