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Simplifying 2(3.2 + -3.4z) = 6.8z + 6.4 (3.2 * 2 + -3.4z * 2) = 6.8z + 6.4 (6.4 + -6.8z) = 6.8z + 6.4 Reorder the terms: 6.4 + -6.8z = 6.4 + 6.8z Add '-6.4' to each side of the equation. 6.4 + -6.4 + -6.8z = 6.4 + -6.4 + 6.8z Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -6.8z = 6.4 + -6.4 + 6.8z -6.8z = 6.4 + -6.4 + 6.8z Combine like terms: 6.4 + -6.4 = 0.0 -6.8z = 0.0 + 6.8z -6.8z = 6.8z Solving -6.8z = 6.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.8z' to each side of the equation. -6.8z + -6.8z = 6.8z + -6.8z Combine like terms: -6.8z + -6.8z = -13.6z -13.6z = 6.8z + -6.8z Combine like terms: 6.8z + -6.8z = 0.0 -13.6z = 0.0 Divide each side by '-13.6'. z = 0 Simplifying z = 0
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