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Simplifying -1(-2 + 1.1z) = 9 + -7.1z (-2 * -1 + 1.1z * -1) = 9 + -7.1z (2 + -1.1z) = 9 + -7.1z Solving 2 + -1.1z = 9 + -7.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7.1z' to each side of the equation. 2 + -1.1z + 7.1z = 9 + -7.1z + 7.1z Combine like terms: -1.1z + 7.1z = 6z 2 + 6z = 9 + -7.1z + 7.1z Combine like terms: -7.1z + 7.1z = 0.0 2 + 6z = 9 + 0.0 2 + 6z = 9 Add '-2' to each side of the equation. 2 + -2 + 6z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 9 + -2 6z = 9 + -2 Combine like terms: 9 + -2 = 7 6z = 7 Divide each side by '6'. z = 1.166666667 Simplifying z = 1.166666667
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