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Simplifying z + -100 + z = 50 + z + -100 + -20 Reorder the terms: -100 + z + z = 50 + z + -100 + -20 Combine like terms: z + z = 2z -100 + 2z = 50 + z + -100 + -20 Reorder the terms: -100 + 2z = 50 + -100 + -20 + z Combine like terms: 50 + -100 = -50 -100 + 2z = -50 + -20 + z Combine like terms: -50 + -20 = -70 -100 + 2z = -70 + z Solving -100 + 2z = -70 + 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. -100 + 2z + -1z = -70 + z + -1z Combine like terms: 2z + -1z = 1z -100 + 1z = -70 + z + -1z Combine like terms: z + -1z = 0 -100 + 1z = -70 + 0 -100 + 1z = -70 Add '100' to each side of the equation. -100 + 100 + 1z = -70 + 100 Combine like terms: -100 + 100 = 0 0 + 1z = -70 + 100 1z = -70 + 100 Combine like terms: -70 + 100 = 30 1z = 30 Divide each side by '1'. z = 30 Simplifying z = 30
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