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Simplifying -2.3 + -6z + -3.9 + -4z = -9z + 0.9 Reorder the terms: -2.3 + -3.9 + -6z + -4z = -9z + 0.9 Combine like terms: -2.3 + -3.9 = -6.2 -6.2 + -6z + -4z = -9z + 0.9 Combine like terms: -6z + -4z = -10z -6.2 + -10z = -9z + 0.9 Reorder the terms: -6.2 + -10z = 0.9 + -9z Solving -6.2 + -10z = 0.9 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -6.2 + -10z + 9z = 0.9 + -9z + 9z Combine like terms: -10z + 9z = -1z -6.2 + -1z = 0.9 + -9z + 9z Combine like terms: -9z + 9z = 0 -6.2 + -1z = 0.9 + 0 -6.2 + -1z = 0.9 Add '6.2' to each side of the equation. -6.2 + 6.2 + -1z = 0.9 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + -1z = 0.9 + 6.2 -1z = 0.9 + 6.2 Combine like terms: 0.9 + 6.2 = 7.1 -1z = 7.1 Divide each side by '-1'. z = -7.1 Simplifying z = -7.1
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