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Simplifying 0.25(z + -3) + 0.75 = 0.50(2z + 5) Reorder the terms: 0.25(-3 + z) + 0.75 = 0.50(2z + 5) (-3 * 0.25 + z * 0.25) + 0.75 = 0.50(2z + 5) (-0.75 + 0.25z) + 0.75 = 0.50(2z + 5) Reorder the terms: -0.75 + 0.75 + 0.25z = 0.50(2z + 5) Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.25z = 0.50(2z + 5) 0.25z = 0.50(2z + 5) Reorder the terms: 0.25z = 0.50(5 + 2z) 0.25z = (5 * 0.50 + 2z * 0.50) 0.25z = (2.5 + 1z) Solving 0.25z = 2.5 + 1z 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. 0.25z + -1z = 2.5 + 1z + -1z Combine like terms: 0.25z + -1z = -0.75z -0.75z = 2.5 + 1z + -1z Combine like terms: 1z + -1z = 0 -0.75z = 2.5 + 0 -0.75z = 2.5 Divide each side by '-0.75'. z = -3.333333333 Simplifying z = -3.333333333
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