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Simplifying 5.8z + -1.8 = 6.6z + 4.6 Reorder the terms: -1.8 + 5.8z = 6.6z + 4.6 Reorder the terms: -1.8 + 5.8z = 4.6 + 6.6z Solving -1.8 + 5.8z = 4.6 + 6.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.6z' to each side of the equation. -1.8 + 5.8z + -6.6z = 4.6 + 6.6z + -6.6z Combine like terms: 5.8z + -6.6z = -0.8z -1.8 + -0.8z = 4.6 + 6.6z + -6.6z Combine like terms: 6.6z + -6.6z = 0.0 -1.8 + -0.8z = 4.6 + 0.0 -1.8 + -0.8z = 4.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.8z = 4.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.8z = 4.6 + 1.8 -0.8z = 4.6 + 1.8 Combine like terms: 4.6 + 1.8 = 6.4 -0.8z = 6.4 Divide each side by '-0.8'. z = -8 Simplifying z = -8
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