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Simplifying -5.9 + -5z + -4.3 + -3z = -7z + 3.9 Reorder the terms: -5.9 + -4.3 + -5z + -3z = -7z + 3.9 Combine like terms: -5.9 + -4.3 = -10.2 -10.2 + -5z + -3z = -7z + 3.9 Combine like terms: -5z + -3z = -8z -10.2 + -8z = -7z + 3.9 Reorder the terms: -10.2 + -8z = 3.9 + -7z Solving -10.2 + -8z = 3.9 + -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. -10.2 + -8z + 7z = 3.9 + -7z + 7z Combine like terms: -8z + 7z = -1z -10.2 + -1z = 3.9 + -7z + 7z Combine like terms: -7z + 7z = 0 -10.2 + -1z = 3.9 + 0 -10.2 + -1z = 3.9 Add '10.2' to each side of the equation. -10.2 + 10.2 + -1z = 3.9 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + -1z = 3.9 + 10.2 -1z = 3.9 + 10.2 Combine like terms: 3.9 + 10.2 = 14.1 -1z = 14.1 Divide each side by '-1'. z = -14.1 Simplifying z = -14.1
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