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Simplifying 400 = z + -100 Reorder the terms: 400 = -100 + z Solving 400 = -100 + 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. 400 + -1z = -100 + z + -1z Combine like terms: z + -1z = 0 400 + -1z = -100 + 0 400 + -1z = -100 Add '-400' to each side of the equation. 400 + -400 + -1z = -100 + -400 Combine like terms: 400 + -400 = 0 0 + -1z = -100 + -400 -1z = -100 + -400 Combine like terms: -100 + -400 = -500 -1z = -500 Divide each side by '-1'. z = 500 Simplifying z = 500
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