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Simplifying 2.4z + 1.2z + -6.5 = 7.0 Reorder the terms: -6.5 + 2.4z + 1.2z = 7.0 Combine like terms: 2.4z + 1.2z = 3.6z -6.5 + 3.6z = 7.0 Solving -6.5 + 3.6z = 7.0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + 3.6z = 7.0 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 3.6z = 7.0 + 6.5 3.6z = 7.0 + 6.5 Combine like terms: 7.0 + 6.5 = 13.5 3.6z = 13.5 Divide each side by '3.6'. z = 3.75 Simplifying z = 3.75
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