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Simplifying -2.7 + -6z + -3.8 + -2z = -7z + -6.3 Reorder the terms: -2.7 + -3.8 + -6z + -2z = -7z + -6.3 Combine like terms: -2.7 + -3.8 = -6.5 -6.5 + -6z + -2z = -7z + -6.3 Combine like terms: -6z + -2z = -8z -6.5 + -8z = -7z + -6.3 Reorder the terms: -6.5 + -8z = -6.3 + -7z Solving -6.5 + -8z = -6.3 + -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. -6.5 + -8z + 7z = -6.3 + -7z + 7z Combine like terms: -8z + 7z = -1z -6.5 + -1z = -6.3 + -7z + 7z Combine like terms: -7z + 7z = 0 -6.5 + -1z = -6.3 + 0 -6.5 + -1z = -6.3 Add '6.5' to each side of the equation. -6.5 + 6.5 + -1z = -6.3 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -1z = -6.3 + 6.5 -1z = -6.3 + 6.5 Combine like terms: -6.3 + 6.5 = 0.2 -1z = 0.2 Divide each side by '-1'. z = -0.2 Simplifying z = -0.2
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