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Simplifying -7.7 + -4z + -8.1 + -2z = -5z + 8.4 Reorder the terms: -7.7 + -8.1 + -4z + -2z = -5z + 8.4 Combine like terms: -7.7 + -8.1 = -15.8 -15.8 + -4z + -2z = -5z + 8.4 Combine like terms: -4z + -2z = -6z -15.8 + -6z = -5z + 8.4 Reorder the terms: -15.8 + -6z = 8.4 + -5z Solving -15.8 + -6z = 8.4 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -15.8 + -6z + 5z = 8.4 + -5z + 5z Combine like terms: -6z + 5z = -1z -15.8 + -1z = 8.4 + -5z + 5z Combine like terms: -5z + 5z = 0 -15.8 + -1z = 8.4 + 0 -15.8 + -1z = 8.4 Add '15.8' to each side of the equation. -15.8 + 15.8 + -1z = 8.4 + 15.8 Combine like terms: -15.8 + 15.8 = 0.0 0.0 + -1z = 8.4 + 15.8 -1z = 8.4 + 15.8 Combine like terms: 8.4 + 15.8 = 24.2 -1z = 24.2 Divide each side by '-1'. z = -24.2 Simplifying z = -24.2
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