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Simplifying 5z + 7.7 + -1.5z + 3.6z + 2 = 0 Reorder the terms: 7.7 + 2 + 5z + -1.5z + 3.6z = 0 Combine like terms: 7.7 + 2 = 9.7 9.7 + 5z + -1.5z + 3.6z = 0 Combine like terms: 5z + -1.5z = 3.5z 9.7 + 3.5z + 3.6z = 0 Combine like terms: 3.5z + 3.6z = 7.1z 9.7 + 7.1z = 0 Solving 9.7 + 7.1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.7' to each side of the equation. 9.7 + -9.7 + 7.1z = 0 + -9.7 Combine like terms: 9.7 + -9.7 = 0.0 0.0 + 7.1z = 0 + -9.7 7.1z = 0 + -9.7 Combine like terms: 0 + -9.7 = -9.7 7.1z = -9.7 Divide each side by '7.1'. z = -1.366197183 Simplifying z = -1.366197183
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