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Simplifying 0.2(4z + -10) = 0.2z + -2 Reorder the terms: 0.2(-10 + 4z) = 0.2z + -2 (-10 * 0.2 + 4z * 0.2) = 0.2z + -2 (-2 + 0.8z) = 0.2z + -2 Reorder the terms: -2 + 0.8z = -2 + 0.2z Add '2' to each side of the equation. -2 + 2 + 0.8z = -2 + 2 + 0.2z Combine like terms: -2 + 2 = 0 0 + 0.8z = -2 + 2 + 0.2z 0.8z = -2 + 2 + 0.2z Combine like terms: -2 + 2 = 0 0.8z = 0 + 0.2z 0.8z = 0.2z Solving 0.8z = 0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.2z' to each side of the equation. 0.8z + -0.2z = 0.2z + -0.2z Combine like terms: 0.8z + -0.2z = 0.6z 0.6z = 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 0.6z = 0.0 Divide each side by '0.6'. z = 0 Simplifying z = 0
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