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Simplifying 0.3z + 3 = -0.6z Reorder the terms: 3 + 0.3z = -0.6z Solving 3 + 0.3z = -0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.6z' to each side of the equation. 3 + 0.3z + 0.6z = -0.6z + 0.6z Combine like terms: 0.3z + 0.6z = 0.9z 3 + 0.9z = -0.6z + 0.6z Combine like terms: -0.6z + 0.6z = 0.0 3 + 0.9z = 0.0 Add '-3' to each side of the equation. 3 + -3 + 0.9z = 0.0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.9z = 0.0 + -3 0.9z = 0.0 + -3 Combine like terms: 0.0 + -3 = -3 0.9z = -3 Divide each side by '0.9'. z = -3.333333333 Simplifying z = -3.333333333
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