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Simplifying 2z + 6 + 10 = 4z + 200 Reorder the terms: 6 + 10 + 2z = 4z + 200 Combine like terms: 6 + 10 = 16 16 + 2z = 4z + 200 Reorder the terms: 16 + 2z = 200 + 4z Solving 16 + 2z = 200 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 16 + 2z + -4z = 200 + 4z + -4z Combine like terms: 2z + -4z = -2z 16 + -2z = 200 + 4z + -4z Combine like terms: 4z + -4z = 0 16 + -2z = 200 + 0 16 + -2z = 200 Add '-16' to each side of the equation. 16 + -16 + -2z = 200 + -16 Combine like terms: 16 + -16 = 0 0 + -2z = 200 + -16 -2z = 200 + -16 Combine like terms: 200 + -16 = 184 -2z = 184 Divide each side by '-2'. z = -92 Simplifying z = -92
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