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Simplifying -2.8 + -6z + -8.7 + -2z = -7z + 7.8 Reorder the terms: -2.8 + -8.7 + -6z + -2z = -7z + 7.8 Combine like terms: -2.8 + -8.7 = -11.5 -11.5 + -6z + -2z = -7z + 7.8 Combine like terms: -6z + -2z = -8z -11.5 + -8z = -7z + 7.8 Reorder the terms: -11.5 + -8z = 7.8 + -7z Solving -11.5 + -8z = 7.8 + -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. -11.5 + -8z + 7z = 7.8 + -7z + 7z Combine like terms: -8z + 7z = -1z -11.5 + -1z = 7.8 + -7z + 7z Combine like terms: -7z + 7z = 0 -11.5 + -1z = 7.8 + 0 -11.5 + -1z = 7.8 Add '11.5' to each side of the equation. -11.5 + 11.5 + -1z = 7.8 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -1z = 7.8 + 11.5 -1z = 7.8 + 11.5 Combine like terms: 7.8 + 11.5 = 19.3 -1z = 19.3 Divide each side by '-1'. z = -19.3 Simplifying z = -19.3
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