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Simplifying -2.6 + -3z + -5.5 + -1z = -3z + -7.9 Reorder the terms: -2.6 + -5.5 + -3z + -1z = -3z + -7.9 Combine like terms: -2.6 + -5.5 = -8.1 -8.1 + -3z + -1z = -3z + -7.9 Combine like terms: -3z + -1z = -4z -8.1 + -4z = -3z + -7.9 Reorder the terms: -8.1 + -4z = -7.9 + -3z Solving -8.1 + -4z = -7.9 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -8.1 + -4z + 3z = -7.9 + -3z + 3z Combine like terms: -4z + 3z = -1z -8.1 + -1z = -7.9 + -3z + 3z Combine like terms: -3z + 3z = 0 -8.1 + -1z = -7.9 + 0 -8.1 + -1z = -7.9 Add '8.1' to each side of the equation. -8.1 + 8.1 + -1z = -7.9 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + -1z = -7.9 + 8.1 -1z = -7.9 + 8.1 Combine like terms: -7.9 + 8.1 = 0.2 -1z = 0.2 Divide each side by '-1'. z = -0.2 Simplifying z = -0.2
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