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Simplifying -6.9 + -4z + -6.9 + -2z = -5z + -12.2 Reorder the terms: -6.9 + -6.9 + -4z + -2z = -5z + -12.2 Combine like terms: -6.9 + -6.9 = -13.8 -13.8 + -4z + -2z = -5z + -12.2 Combine like terms: -4z + -2z = -6z -13.8 + -6z = -5z + -12.2 Reorder the terms: -13.8 + -6z = -12.2 + -5z Solving -13.8 + -6z = -12.2 + -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. -13.8 + -6z + 5z = -12.2 + -5z + 5z Combine like terms: -6z + 5z = -1z -13.8 + -1z = -12.2 + -5z + 5z Combine like terms: -5z + 5z = 0 -13.8 + -1z = -12.2 + 0 -13.8 + -1z = -12.2 Add '13.8' to each side of the equation. -13.8 + 13.8 + -1z = -12.2 + 13.8 Combine like terms: -13.8 + 13.8 = 0.0 0.0 + -1z = -12.2 + 13.8 -1z = -12.2 + 13.8 Combine like terms: -12.2 + 13.8 = 1.6 -1z = 1.6 Divide each side by '-1'. z = -1.6 Simplifying z = -1.6
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