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Simplifying 2z + -0.1 = 3z Reorder the terms: -0.1 + 2z = 3z Solving -0.1 + 2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -0.1 + 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z -0.1 + -1z = 3z + -3z Combine like terms: 3z + -3z = 0 -0.1 + -1z = 0 Add '0.1' to each side of the equation. -0.1 + 0.1 + -1z = 0 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -1z = 0 + 0.1 -1z = 0 + 0.1 Combine like terms: 0 + 0.1 = 0.1 -1z = 0.1 Divide each side by '-1'. z = -0.1 Simplifying z = -0.1
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