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Simplifying -4.9 + -5z + -6.7 + -2z = -6z + 5.6 Reorder the terms: -4.9 + -6.7 + -5z + -2z = -6z + 5.6 Combine like terms: -4.9 + -6.7 = -11.6 -11.6 + -5z + -2z = -6z + 5.6 Combine like terms: -5z + -2z = -7z -11.6 + -7z = -6z + 5.6 Reorder the terms: -11.6 + -7z = 5.6 + -6z Solving -11.6 + -7z = 5.6 + -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. -11.6 + -7z + 6z = 5.6 + -6z + 6z Combine like terms: -7z + 6z = -1z -11.6 + -1z = 5.6 + -6z + 6z Combine like terms: -6z + 6z = 0 -11.6 + -1z = 5.6 + 0 -11.6 + -1z = 5.6 Add '11.6' to each side of the equation. -11.6 + 11.6 + -1z = 5.6 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + -1z = 5.6 + 11.6 -1z = 5.6 + 11.6 Combine like terms: 5.6 + 11.6 = 17.2 -1z = 17.2 Divide each side by '-1'. z = -17.2 Simplifying z = -17.2
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