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Simplifying -8.6 + -5z + -6.2 + -3z = -7z + 5.1 Reorder the terms: -8.6 + -6.2 + -5z + -3z = -7z + 5.1 Combine like terms: -8.6 + -6.2 = -14.8 -14.8 + -5z + -3z = -7z + 5.1 Combine like terms: -5z + -3z = -8z -14.8 + -8z = -7z + 5.1 Reorder the terms: -14.8 + -8z = 5.1 + -7z Solving -14.8 + -8z = 5.1 + -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. -14.8 + -8z + 7z = 5.1 + -7z + 7z Combine like terms: -8z + 7z = -1z -14.8 + -1z = 5.1 + -7z + 7z Combine like terms: -7z + 7z = 0 -14.8 + -1z = 5.1 + 0 -14.8 + -1z = 5.1 Add '14.8' to each side of the equation. -14.8 + 14.8 + -1z = 5.1 + 14.8 Combine like terms: -14.8 + 14.8 = 0.0 0.0 + -1z = 5.1 + 14.8 -1z = 5.1 + 14.8 Combine like terms: 5.1 + 14.8 = 19.9 -1z = 19.9 Divide each side by '-1'. z = -19.9 Simplifying z = -19.9
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