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Simplifying -0.4 + 6.8z = -1(-5.6z + -1) Reorder the terms: -0.4 + 6.8z = -1(-1 + -5.6z) -0.4 + 6.8z = (-1 * -1 + -5.6z * -1) -0.4 + 6.8z = (1 + 5.6z) Solving -0.4 + 6.8z = 1 + 5.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.6z' to each side of the equation. -0.4 + 6.8z + -5.6z = 1 + 5.6z + -5.6z Combine like terms: 6.8z + -5.6z = 1.2z -0.4 + 1.2z = 1 + 5.6z + -5.6z Combine like terms: 5.6z + -5.6z = 0.0 -0.4 + 1.2z = 1 + 0.0 -0.4 + 1.2z = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1.2z = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1.2z = 1 + 0.4 1.2z = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 1.2z = 1.4 Divide each side by '1.2'. z = 1.166666667 Simplifying z = 1.166666667
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