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Simplifying 1.25z + -1 = 0.75z + -3.5 Reorder the terms: -1 + 1.25z = 0.75z + -3.5 Reorder the terms: -1 + 1.25z = -3.5 + 0.75z Solving -1 + 1.25z = -3.5 + 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. -1 + 1.25z + -0.75z = -3.5 + 0.75z + -0.75z Combine like terms: 1.25z + -0.75z = 0.5z -1 + 0.5z = -3.5 + 0.75z + -0.75z Combine like terms: 0.75z + -0.75z = 0.00 -1 + 0.5z = -3.5 + 0.00 -1 + 0.5z = -3.5 Add '1' to each side of the equation. -1 + 1 + 0.5z = -3.5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5z = -3.5 + 1 0.5z = -3.5 + 1 Combine like terms: -3.5 + 1 = -2.5 0.5z = -2.5 Divide each side by '0.5'. z = -5 Simplifying z = -5
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