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Simplifying -6.7 + -4z + -8.1 + -2z = -5z + -3.4 Reorder the terms: -6.7 + -8.1 + -4z + -2z = -5z + -3.4 Combine like terms: -6.7 + -8.1 = -14.8 -14.8 + -4z + -2z = -5z + -3.4 Combine like terms: -4z + -2z = -6z -14.8 + -6z = -5z + -3.4 Reorder the terms: -14.8 + -6z = -3.4 + -5z Solving -14.8 + -6z = -3.4 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -14.8 + -6z + 5z = -3.4 + -5z + 5z Combine like terms: -6z + 5z = -1z -14.8 + -1z = -3.4 + -5z + 5z Combine like terms: -5z + 5z = 0 -14.8 + -1z = -3.4 + 0 -14.8 + -1z = -3.4 Add '14.8' to each side of the equation. -14.8 + 14.8 + -1z = -3.4 + 14.8 Combine like terms: -14.8 + 14.8 = 0.0 0.0 + -1z = -3.4 + 14.8 -1z = -3.4 + 14.8 Combine like terms: -3.4 + 14.8 = 11.4 -1z = 11.4 Divide each side by '-1'. z = -11.4 Simplifying z = -11.4
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