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Simplifying 0.7 + 1.9 + 0.1z = 5.5 + -0.4z Combine like terms: 0.7 + 1.9 = 2.6 2.6 + 0.1z = 5.5 + -0.4z Solving 2.6 + 0.1z = 5.5 + -0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.4z' to each side of the equation. 2.6 + 0.1z + 0.4z = 5.5 + -0.4z + 0.4z Combine like terms: 0.1z + 0.4z = 0.5z 2.6 + 0.5z = 5.5 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 2.6 + 0.5z = 5.5 + 0.0 2.6 + 0.5z = 5.5 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 0.5z = 5.5 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.5z = 5.5 + -2.6 0.5z = 5.5 + -2.6 Combine like terms: 5.5 + -2.6 = 2.9 0.5z = 2.9 Divide each side by '0.5'. z = 5.8 Simplifying z = 5.8
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