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Simplifying z + -18 + z + -5 = z + 34 Reorder the terms: -18 + -5 + z + z = z + 34 Combine like terms: -18 + -5 = -23 -23 + z + z = z + 34 Combine like terms: z + z = 2z -23 + 2z = z + 34 Reorder the terms: -23 + 2z = 34 + z Solving -23 + 2z = 34 + 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. -23 + 2z + -1z = 34 + z + -1z Combine like terms: 2z + -1z = 1z -23 + 1z = 34 + z + -1z Combine like terms: z + -1z = 0 -23 + 1z = 34 + 0 -23 + 1z = 34 Add '23' to each side of the equation. -23 + 23 + 1z = 34 + 23 Combine like terms: -23 + 23 = 0 0 + 1z = 34 + 23 1z = 34 + 23 Combine like terms: 34 + 23 = 57 1z = 57 Divide each side by '1'. z = 57 Simplifying z = 57
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