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Simplifying 0.3333333(6z + 10) = 0 Reorder the terms: 0.3333333(10 + 6z) = 0 (10 * 0.3333333 + 6z * 0.3333333) = 0 (3.333333 + 1.9999998z) = 0 Solving 3.333333 + 1.9999998z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.333333' to each side of the equation. 3.333333 + -3.333333 + 1.9999998z = 0 + -3.333333 Combine like terms: 3.333333 + -3.333333 = 0.000000 0.000000 + 1.9999998z = 0 + -3.333333 1.9999998z = 0 + -3.333333 Combine like terms: 0 + -3.333333 = -3.333333 1.9999998z = -3.333333 Divide each side by '1.9999998'. z = -1.666666667 Simplifying z = -1.666666667
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