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Simplifying -2.9 + -6z + -2.7 + -2z = -7z + 1.9 Reorder the terms: -2.9 + -2.7 + -6z + -2z = -7z + 1.9 Combine like terms: -2.9 + -2.7 = -5.6 -5.6 + -6z + -2z = -7z + 1.9 Combine like terms: -6z + -2z = -8z -5.6 + -8z = -7z + 1.9 Reorder the terms: -5.6 + -8z = 1.9 + -7z Solving -5.6 + -8z = 1.9 + -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. -5.6 + -8z + 7z = 1.9 + -7z + 7z Combine like terms: -8z + 7z = -1z -5.6 + -1z = 1.9 + -7z + 7z Combine like terms: -7z + 7z = 0 -5.6 + -1z = 1.9 + 0 -5.6 + -1z = 1.9 Add '5.6' to each side of the equation. -5.6 + 5.6 + -1z = 1.9 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + -1z = 1.9 + 5.6 -1z = 1.9 + 5.6 Combine like terms: 1.9 + 5.6 = 7.5 -1z = 7.5 Divide each side by '-1'. z = -7.5 Simplifying z = -7.5
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