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Simplifying z + 109 = -1z + 9 Reorder the terms: 109 + z = -1z + 9 Reorder the terms: 109 + z = 9 + -1z Solving 109 + z = 9 + -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. 109 + z + z = 9 + -1z + z Combine like terms: z + z = 2z 109 + 2z = 9 + -1z + z Combine like terms: -1z + z = 0 109 + 2z = 9 + 0 109 + 2z = 9 Add '-109' to each side of the equation. 109 + -109 + 2z = 9 + -109 Combine like terms: 109 + -109 = 0 0 + 2z = 9 + -109 2z = 9 + -109 Combine like terms: 9 + -109 = -100 2z = -100 Divide each side by '2'. z = -50 Simplifying z = -50
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