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Simplifying 0.125(3z + -8) + -0.2 = 0.125z + 0.3 Reorder the terms: 0.125(-8 + 3z) + -0.2 = 0.125z + 0.3 (-8 * 0.125 + 3z * 0.125) + -0.2 = 0.125z + 0.3 (-1 + 0.375z) + -0.2 = 0.125z + 0.3 Reorder the terms: -1 + -0.2 + 0.375z = 0.125z + 0.3 Combine like terms: -1 + -0.2 = -1.2 -1.2 + 0.375z = 0.125z + 0.3 Reorder the terms: -1.2 + 0.375z = 0.3 + 0.125z Solving -1.2 + 0.375z = 0.3 + 0.125z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.125z' to each side of the equation. -1.2 + 0.375z + -0.125z = 0.3 + 0.125z + -0.125z Combine like terms: 0.375z + -0.125z = 0.25z -1.2 + 0.25z = 0.3 + 0.125z + -0.125z Combine like terms: 0.125z + -0.125z = 0.000 -1.2 + 0.25z = 0.3 + 0.000 -1.2 + 0.25z = 0.3 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.25z = 0.3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.25z = 0.3 + 1.2 0.25z = 0.3 + 1.2 Combine like terms: 0.3 + 1.2 = 1.5 0.25z = 1.5 Divide each side by '0.25'. z = 6 Simplifying z = 6
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