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Simplifying -6.6 = 2.3z + -1(-2.7z + 0.6) Reorder the terms: -6.6 = 2.3z + -1(0.6 + -2.7z) -6.6 = 2.3z + (0.6 * -1 + -2.7z * -1) -6.6 = 2.3z + (-0.6 + 2.7z) Reorder the terms: -6.6 = -0.6 + 2.3z + 2.7z Combine like terms: 2.3z + 2.7z = 5z -6.6 = -0.6 + 5z Solving -6.6 = -0.6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -6.6 + -5z = -0.6 + 5z + -5z Combine like terms: 5z + -5z = 0 -6.6 + -5z = -0.6 + 0 -6.6 + -5z = -0.6 Add '6.6' to each side of the equation. -6.6 + 6.6 + -5z = -0.6 + 6.6 Combine like terms: -6.6 + 6.6 = 0.0 0.0 + -5z = -0.6 + 6.6 -5z = -0.6 + 6.6 Combine like terms: -0.6 + 6.6 = 6 -5z = 6 Divide each side by '-5'. z = -1.2 Simplifying z = -1.2
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