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Simplifying -5.6 = 1.4 + -0.4z + -5.3 Reorder the terms: -5.6 = 1.4 + -5.3 + -0.4z Combine like terms: 1.4 + -5.3 = -3.9 -5.6 = -3.9 + -0.4z Solving -5.6 = -3.9 + -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. -5.6 + 0.4z = -3.9 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 -5.6 + 0.4z = -3.9 + 0.0 -5.6 + 0.4z = -3.9 Add '5.6' to each side of the equation. -5.6 + 5.6 + 0.4z = -3.9 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 0.4z = -3.9 + 5.6 0.4z = -3.9 + 5.6 Combine like terms: -3.9 + 5.6 = 1.7 0.4z = 1.7 Divide each side by '0.4'. z = 4.25 Simplifying z = 4.25
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