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Simplifying -5.7 + -4z + -8.2 + -1z = -4z + -7.1 Reorder the terms: -5.7 + -8.2 + -4z + -1z = -4z + -7.1 Combine like terms: -5.7 + -8.2 = -13.9 -13.9 + -4z + -1z = -4z + -7.1 Combine like terms: -4z + -1z = -5z -13.9 + -5z = -4z + -7.1 Reorder the terms: -13.9 + -5z = -7.1 + -4z Solving -13.9 + -5z = -7.1 + -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. -13.9 + -5z + 4z = -7.1 + -4z + 4z Combine like terms: -5z + 4z = -1z -13.9 + -1z = -7.1 + -4z + 4z Combine like terms: -4z + 4z = 0 -13.9 + -1z = -7.1 + 0 -13.9 + -1z = -7.1 Add '13.9' to each side of the equation. -13.9 + 13.9 + -1z = -7.1 + 13.9 Combine like terms: -13.9 + 13.9 = 0.0 0.0 + -1z = -7.1 + 13.9 -1z = -7.1 + 13.9 Combine like terms: -7.1 + 13.9 = 6.8 -1z = 6.8 Divide each side by '-1'. z = -6.8 Simplifying z = -6.8
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