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Simplifying -0.1(5z + 5) + 3.1z = 0 Reorder the terms: -0.1(5 + 5z) + 3.1z = 0 (5 * -0.1 + 5z * -0.1) + 3.1z = 0 (-0.5 + -0.5z) + 3.1z = 0 Combine like terms: -0.5z + 3.1z = 2.6z -0.5 + 2.6z = 0 Solving -0.5 + 2.6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 2.6z = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.6z = 0 + 0.5 2.6z = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 2.6z = 0.5 Divide each side by '2.6'. z = 0.1923076923 Simplifying z = 0.1923076923
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