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Simplifying -6.9 + -4z + -1.3 + -1z = -4z + 7.7 Reorder the terms: -6.9 + -1.3 + -4z + -1z = -4z + 7.7 Combine like terms: -6.9 + -1.3 = -8.2 -8.2 + -4z + -1z = -4z + 7.7 Combine like terms: -4z + -1z = -5z -8.2 + -5z = -4z + 7.7 Reorder the terms: -8.2 + -5z = 7.7 + -4z Solving -8.2 + -5z = 7.7 + -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. -8.2 + -5z + 4z = 7.7 + -4z + 4z Combine like terms: -5z + 4z = -1z -8.2 + -1z = 7.7 + -4z + 4z Combine like terms: -4z + 4z = 0 -8.2 + -1z = 7.7 + 0 -8.2 + -1z = 7.7 Add '8.2' to each side of the equation. -8.2 + 8.2 + -1z = 7.7 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + -1z = 7.7 + 8.2 -1z = 7.7 + 8.2 Combine like terms: 7.7 + 8.2 = 15.9 -1z = 15.9 Divide each side by '-1'. z = -15.9 Simplifying z = -15.9
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