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Simplifying 0.5z + -2 = -0.75z + -2 Reorder the terms: -2 + 0.5z = -0.75z + -2 Reorder the terms: -2 + 0.5z = -2 + -0.75z Add '2' to each side of the equation. -2 + 2 + 0.5z = -2 + 2 + -0.75z Combine like terms: -2 + 2 = 0 0 + 0.5z = -2 + 2 + -0.75z 0.5z = -2 + 2 + -0.75z Combine like terms: -2 + 2 = 0 0.5z = 0 + -0.75z 0.5z = -0.75z Solving 0.5z = -0.75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.75z' to each side of the equation. 0.5z + 0.75z = -0.75z + 0.75z Combine like terms: 0.5z + 0.75z = 1.25z 1.25z = -0.75z + 0.75z Combine like terms: -0.75z + 0.75z = 0.00 1.25z = 0.00 Divide each side by '1.25'. z = 0 Simplifying z = 0
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