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Simplifying 0.2(3 + 2z) + -4z = 0 (3 * 0.2 + 2z * 0.2) + -4z = 0 (0.6 + 0.4z) + -4z = 0 Combine like terms: 0.4z + -4z = -3.6z 0.6 + -3.6z = 0 Solving 0.6 + -3.6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + -3.6z = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -3.6z = 0 + -0.6 -3.6z = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -3.6z = -0.6 Divide each side by '-3.6'. z = 0.1666666667 Simplifying z = 0.1666666667
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