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Simplifying -0.125(z + 3) = 0.5(z + -6) Reorder the terms: -0.125(3 + z) = 0.5(z + -6) (3 * -0.125 + z * -0.125) = 0.5(z + -6) (-0.375 + -0.125z) = 0.5(z + -6) Reorder the terms: -0.375 + -0.125z = 0.5(-6 + z) -0.375 + -0.125z = (-6 * 0.5 + z * 0.5) -0.375 + -0.125z = (-3 + 0.5z) Solving -0.375 + -0.125z = -3 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. -0.375 + -0.125z + -0.5z = -3 + 0.5z + -0.5z Combine like terms: -0.125z + -0.5z = -0.625z -0.375 + -0.625z = -3 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -0.375 + -0.625z = -3 + 0.0 -0.375 + -0.625z = -3 Add '0.375' to each side of the equation. -0.375 + 0.375 + -0.625z = -3 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -0.625z = -3 + 0.375 -0.625z = -3 + 0.375 Combine like terms: -3 + 0.375 = -2.625 -0.625z = -2.625 Divide each side by '-0.625'. z = 4.2 Simplifying z = 4.2
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