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Simplifying 0.2z + 2 = 0.6z + -10 Reorder the terms: 2 + 0.2z = 0.6z + -10 Reorder the terms: 2 + 0.2z = -10 + 0.6z Solving 2 + 0.2z = -10 + 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. 2 + 0.2z + -0.6z = -10 + 0.6z + -0.6z Combine like terms: 0.2z + -0.6z = -0.4z 2 + -0.4z = -10 + 0.6z + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 2 + -0.4z = -10 + 0.0 2 + -0.4z = -10 Add '-2' to each side of the equation. 2 + -2 + -0.4z = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -0.4z = -10 + -2 -0.4z = -10 + -2 Combine like terms: -10 + -2 = -12 -0.4z = -12 Divide each side by '-0.4'. z = 30 Simplifying z = 30
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