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Simplifying 0.72 + 1.9 + 0.1z = 5.5 + -0.4z Combine like terms: 0.72 + 1.9 = 2.62 2.62 + 0.1z = 5.5 + -0.4z Solving 2.62 + 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. 2.62 + 0.1z + 0.4z = 5.5 + -0.4z + 0.4z Combine like terms: 0.1z + 0.4z = 0.5z 2.62 + 0.5z = 5.5 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 2.62 + 0.5z = 5.5 + 0.0 2.62 + 0.5z = 5.5 Add '-2.62' to each side of the equation. 2.62 + -2.62 + 0.5z = 5.5 + -2.62 Combine like terms: 2.62 + -2.62 = 0.00 0.00 + 0.5z = 5.5 + -2.62 0.5z = 5.5 + -2.62 Combine like terms: 5.5 + -2.62 = 2.88 0.5z = 2.88 Divide each side by '0.5'. z = 5.76 Simplifying z = 5.76
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