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Simplifying -0.1z + 1.2 = 0.3z + -2.4 Reorder the terms: 1.2 + -0.1z = 0.3z + -2.4 Reorder the terms: 1.2 + -0.1z = -2.4 + 0.3z Solving 1.2 + -0.1z = -2.4 + 0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.3z' to each side of the equation. 1.2 + -0.1z + -0.3z = -2.4 + 0.3z + -0.3z Combine like terms: -0.1z + -0.3z = -0.4z 1.2 + -0.4z = -2.4 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 1.2 + -0.4z = -2.4 + 0.0 1.2 + -0.4z = -2.4 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.4z = -2.4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.4z = -2.4 + -1.2 -0.4z = -2.4 + -1.2 Combine like terms: -2.4 + -1.2 = -3.6 -0.4z = -3.6 Divide each side by '-0.4'. z = 9 Simplifying z = 9
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