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Simplifying 1.4 + 2.2 = 2.6z + -0.2 Combine like terms: 1.4 + 2.2 = 3.6 3.6 = 2.6z + -0.2 Reorder the terms: 3.6 = -0.2 + 2.6z Solving 3.6 = -0.2 + 2.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.6z' to each side of the equation. 3.6 + -2.6z = -0.2 + 2.6z + -2.6z Combine like terms: 2.6z + -2.6z = 0.0 3.6 + -2.6z = -0.2 + 0.0 3.6 + -2.6z = -0.2 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -2.6z = -0.2 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -2.6z = -0.2 + -3.6 -2.6z = -0.2 + -3.6 Combine like terms: -0.2 + -3.6 = -3.8 -2.6z = -3.8 Divide each side by '-2.6'. z = 1.461538462 Simplifying z = 1.461538462
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