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Simplifying 7.4 + 2.1(z + -2) = 8.5 Reorder the terms: 7.4 + 2.1(-2 + z) = 8.5 7.4 + (-2 * 2.1 + z * 2.1) = 8.5 7.4 + (-4.2 + 2.1z) = 8.5 Combine like terms: 7.4 + -4.2 = 3.2 3.2 + 2.1z = 8.5 Solving 3.2 + 2.1z = 8.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 2.1z = 8.5 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.1z = 8.5 + -3.2 2.1z = 8.5 + -3.2 Combine like terms: 8.5 + -3.2 = 5.3 2.1z = 5.3 Divide each side by '2.1'. z = 2.523809524 Simplifying z = 2.523809524
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