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Simplifying -3.8 + -5z + -1.7 + -3z = 7z + 0.4 Reorder the terms: -3.8 + -1.7 + -5z + -3z = 7z + 0.4 Combine like terms: -3.8 + -1.7 = -5.5 -5.5 + -5z + -3z = 7z + 0.4 Combine like terms: -5z + -3z = -8z -5.5 + -8z = 7z + 0.4 Reorder the terms: -5.5 + -8z = 0.4 + 7z Solving -5.5 + -8z = 0.4 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -5.5 + -8z + -7z = 0.4 + 7z + -7z Combine like terms: -8z + -7z = -15z -5.5 + -15z = 0.4 + 7z + -7z Combine like terms: 7z + -7z = 0 -5.5 + -15z = 0.4 + 0 -5.5 + -15z = 0.4 Add '5.5' to each side of the equation. -5.5 + 5.5 + -15z = 0.4 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -15z = 0.4 + 5.5 -15z = 0.4 + 5.5 Combine like terms: 0.4 + 5.5 = 5.9 -15z = 5.9 Divide each side by '-15'. z = -0.3933333333 Simplifying z = -0.3933333333
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