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Simplifying -4.6 + -3z + -3.4 + -1z = 3z + 7.9 Reorder the terms: -4.6 + -3.4 + -3z + -1z = 3z + 7.9 Combine like terms: -4.6 + -3.4 = -8 -8 + -3z + -1z = 3z + 7.9 Combine like terms: -3z + -1z = -4z -8 + -4z = 3z + 7.9 Reorder the terms: -8 + -4z = 7.9 + 3z Solving -8 + -4z = 7.9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -8 + -4z + -3z = 7.9 + 3z + -3z Combine like terms: -4z + -3z = -7z -8 + -7z = 7.9 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + -7z = 7.9 + 0 -8 + -7z = 7.9 Add '8' to each side of the equation. -8 + 8 + -7z = 7.9 + 8 Combine like terms: -8 + 8 = 0 0 + -7z = 7.9 + 8 -7z = 7.9 + 8 Combine like terms: 7.9 + 8 = 15.9 -7z = 15.9 Divide each side by '-7'. z = -2.271428571 Simplifying z = -2.271428571
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