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Simplifying -11.8z + -6.89 + 0.3z = -10.5z + 11.31 Reorder the terms: -6.89 + -11.8z + 0.3z = -10.5z + 11.31 Combine like terms: -11.8z + 0.3z = -11.5z -6.89 + -11.5z = -10.5z + 11.31 Reorder the terms: -6.89 + -11.5z = 11.31 + -10.5z Solving -6.89 + -11.5z = 11.31 + -10.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10.5z' to each side of the equation. -6.89 + -11.5z + 10.5z = 11.31 + -10.5z + 10.5z Combine like terms: -11.5z + 10.5z = -1z -6.89 + -1z = 11.31 + -10.5z + 10.5z Combine like terms: -10.5z + 10.5z = 0.0 -6.89 + -1z = 11.31 + 0.0 -6.89 + -1z = 11.31 Add '6.89' to each side of the equation. -6.89 + 6.89 + -1z = 11.31 + 6.89 Combine like terms: -6.89 + 6.89 = 0.00 0.00 + -1z = 11.31 + 6.89 -1z = 11.31 + 6.89 Combine like terms: 11.31 + 6.89 = 18.2 -1z = 18.2 Divide each side by '-1'. z = -18.2 Simplifying z = -18.2
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