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Simplifying -8.1 + -4z + -6.6 + -1z = -4z + 12.9 Reorder the terms: -8.1 + -6.6 + -4z + -1z = -4z + 12.9 Combine like terms: -8.1 + -6.6 = -14.7 -14.7 + -4z + -1z = -4z + 12.9 Combine like terms: -4z + -1z = -5z -14.7 + -5z = -4z + 12.9 Reorder the terms: -14.7 + -5z = 12.9 + -4z Solving -14.7 + -5z = 12.9 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -14.7 + -5z + 4z = 12.9 + -4z + 4z Combine like terms: -5z + 4z = -1z -14.7 + -1z = 12.9 + -4z + 4z Combine like terms: -4z + 4z = 0 -14.7 + -1z = 12.9 + 0 -14.7 + -1z = 12.9 Add '14.7' to each side of the equation. -14.7 + 14.7 + -1z = 12.9 + 14.7 Combine like terms: -14.7 + 14.7 = 0.0 0.0 + -1z = 12.9 + 14.7 -1z = 12.9 + 14.7 Combine like terms: 12.9 + 14.7 = 27.6 -1z = 27.6 Divide each side by '-1'. z = -27.6 Simplifying z = -27.6
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