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Simplifying -5.1 + -6z + -6.7 + -1z = -6z + 2.9 Reorder the terms: -5.1 + -6.7 + -6z + -1z = -6z + 2.9 Combine like terms: -5.1 + -6.7 = -11.8 -11.8 + -6z + -1z = -6z + 2.9 Combine like terms: -6z + -1z = -7z -11.8 + -7z = -6z + 2.9 Reorder the terms: -11.8 + -7z = 2.9 + -6z Solving -11.8 + -7z = 2.9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -11.8 + -7z + 6z = 2.9 + -6z + 6z Combine like terms: -7z + 6z = -1z -11.8 + -1z = 2.9 + -6z + 6z Combine like terms: -6z + 6z = 0 -11.8 + -1z = 2.9 + 0 -11.8 + -1z = 2.9 Add '11.8' to each side of the equation. -11.8 + 11.8 + -1z = 2.9 + 11.8 Combine like terms: -11.8 + 11.8 = 0.0 0.0 + -1z = 2.9 + 11.8 -1z = 2.9 + 11.8 Combine like terms: 2.9 + 11.8 = 14.7 -1z = 14.7 Divide each side by '-1'. z = -14.7 Simplifying z = -14.7
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