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Simplifying -5.8 + -4z + -4.7 + -1z = -4z + 9.6 Reorder the terms: -5.8 + -4.7 + -4z + -1z = -4z + 9.6 Combine like terms: -5.8 + -4.7 = -10.5 -10.5 + -4z + -1z = -4z + 9.6 Combine like terms: -4z + -1z = -5z -10.5 + -5z = -4z + 9.6 Reorder the terms: -10.5 + -5z = 9.6 + -4z Solving -10.5 + -5z = 9.6 + -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. -10.5 + -5z + 4z = 9.6 + -4z + 4z Combine like terms: -5z + 4z = -1z -10.5 + -1z = 9.6 + -4z + 4z Combine like terms: -4z + 4z = 0 -10.5 + -1z = 9.6 + 0 -10.5 + -1z = 9.6 Add '10.5' to each side of the equation. -10.5 + 10.5 + -1z = 9.6 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -1z = 9.6 + 10.5 -1z = 9.6 + 10.5 Combine like terms: 9.6 + 10.5 = 20.1 -1z = 20.1 Divide each side by '-1'. z = -20.1 Simplifying z = -20.1
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