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Simplifying 1.8z + 5.6 = 6.4z + 1 Reorder the terms: 5.6 + 1.8z = 6.4z + 1 Reorder the terms: 5.6 + 1.8z = 1 + 6.4z Solving 5.6 + 1.8z = 1 + 6.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.4z' to each side of the equation. 5.6 + 1.8z + -6.4z = 1 + 6.4z + -6.4z Combine like terms: 1.8z + -6.4z = -4.6z 5.6 + -4.6z = 1 + 6.4z + -6.4z Combine like terms: 6.4z + -6.4z = 0.0 5.6 + -4.6z = 1 + 0.0 5.6 + -4.6z = 1 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -4.6z = 1 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -4.6z = 1 + -5.6 -4.6z = 1 + -5.6 Combine like terms: 1 + -5.6 = -4.6 -4.6z = -4.6 Divide each side by '-4.6'. z = 1 Simplifying z = 1
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