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Simplifying z + -6z + 3.9 = -5.5z + 26.4 Reorder the terms: 3.9 + z + -6z = -5.5z + 26.4 Combine like terms: z + -6z = -5z 3.9 + -5z = -5.5z + 26.4 Reorder the terms: 3.9 + -5z = 26.4 + -5.5z Solving 3.9 + -5z = 26.4 + -5.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5.5z' to each side of the equation. 3.9 + -5z + 5.5z = 26.4 + -5.5z + 5.5z Combine like terms: -5z + 5.5z = 0.5z 3.9 + 0.5z = 26.4 + -5.5z + 5.5z Combine like terms: -5.5z + 5.5z = 0.0 3.9 + 0.5z = 26.4 + 0.0 3.9 + 0.5z = 26.4 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 0.5z = 26.4 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 0.5z = 26.4 + -3.9 0.5z = 26.4 + -3.9 Combine like terms: 26.4 + -3.9 = 22.5 0.5z = 22.5 Divide each side by '0.5'. z = 45 Simplifying z = 45
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