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Simplifying -2.9 + -4z + -5.8 + -1z = -4z + 0.2 Reorder the terms: -2.9 + -5.8 + -4z + -1z = -4z + 0.2 Combine like terms: -2.9 + -5.8 = -8.7 -8.7 + -4z + -1z = -4z + 0.2 Combine like terms: -4z + -1z = -5z -8.7 + -5z = -4z + 0.2 Reorder the terms: -8.7 + -5z = 0.2 + -4z Solving -8.7 + -5z = 0.2 + -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. -8.7 + -5z + 4z = 0.2 + -4z + 4z Combine like terms: -5z + 4z = -1z -8.7 + -1z = 0.2 + -4z + 4z Combine like terms: -4z + 4z = 0 -8.7 + -1z = 0.2 + 0 -8.7 + -1z = 0.2 Add '8.7' to each side of the equation. -8.7 + 8.7 + -1z = 0.2 + 8.7 Combine like terms: -8.7 + 8.7 = 0.0 0.0 + -1z = 0.2 + 8.7 -1z = 0.2 + 8.7 Combine like terms: 0.2 + 8.7 = 8.9 -1z = 8.9 Divide each side by '-1'. z = -8.9 Simplifying z = -8.9
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