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Simplifying -6.6 + -4.1 = 1.8z + -0.8z + 7.4 Combine like terms: -6.6 + -4.1 = -10.7 -10.7 = 1.8z + -0.8z + 7.4 Reorder the terms: -10.7 = 7.4 + 1.8z + -0.8z Combine like terms: 1.8z + -0.8z = 1z -10.7 = 7.4 + 1z Solving -10.7 = 7.4 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -10.7 + -1z = 7.4 + 1z + -1z Combine like terms: 1z + -1z = 0 -10.7 + -1z = 7.4 + 0 -10.7 + -1z = 7.4 Add '10.7' to each side of the equation. -10.7 + 10.7 + -1z = 7.4 + 10.7 Combine like terms: -10.7 + 10.7 = 0.0 0.0 + -1z = 7.4 + 10.7 -1z = 7.4 + 10.7 Combine like terms: 7.4 + 10.7 = 18.1 -1z = 18.1 Divide each side by '-1'. z = -18.1 Simplifying z = -18.1
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