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Simplifying (100) * 0.25(8z + -4) = z + 8 + -2z Reorder the terms: 100 * 0.25(-4 + 8z) = z + 8 + -2z Multiply 100 * 0.25 25(-4 + 8z) = z + 8 + -2z (-4 * 25 + 8z * 25) = z + 8 + -2z (-100 + 200z) = z + 8 + -2z Reorder the terms: -100 + 200z = 8 + z + -2z Combine like terms: z + -2z = -1z -100 + 200z = 8 + -1z Solving -100 + 200z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -100 + 200z + z = 8 + -1z + z Combine like terms: 200z + z = 201z -100 + 201z = 8 + -1z + z Combine like terms: -1z + z = 0 -100 + 201z = 8 + 0 -100 + 201z = 8 Add '100' to each side of the equation. -100 + 100 + 201z = 8 + 100 Combine like terms: -100 + 100 = 0 0 + 201z = 8 + 100 201z = 8 + 100 Combine like terms: 8 + 100 = 108 201z = 108 Divide each side by '201'. z = 0.5373134328 Simplifying z = 0.5373134328
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