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Simplifying -8.3 + -6z + -3.4 + -3z = -8z + -3.3 Reorder the terms: -8.3 + -3.4 + -6z + -3z = -8z + -3.3 Combine like terms: -8.3 + -3.4 = -11.7 -11.7 + -6z + -3z = -8z + -3.3 Combine like terms: -6z + -3z = -9z -11.7 + -9z = -8z + -3.3 Reorder the terms: -11.7 + -9z = -3.3 + -8z Solving -11.7 + -9z = -3.3 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -11.7 + -9z + 8z = -3.3 + -8z + 8z Combine like terms: -9z + 8z = -1z -11.7 + -1z = -3.3 + -8z + 8z Combine like terms: -8z + 8z = 0 -11.7 + -1z = -3.3 + 0 -11.7 + -1z = -3.3 Add '11.7' to each side of the equation. -11.7 + 11.7 + -1z = -3.3 + 11.7 Combine like terms: -11.7 + 11.7 = 0.0 0.0 + -1z = -3.3 + 11.7 -1z = -3.3 + 11.7 Combine like terms: -3.3 + 11.7 = 8.4 -1z = 8.4 Divide each side by '-1'. z = -8.4 Simplifying z = -8.4
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