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Simplifying 6.4 + 2.1(z + -2) = 8.4 Reorder the terms: 6.4 + 2.1(-2 + z) = 8.4 6.4 + (-2 * 2.1 + z * 2.1) = 8.4 6.4 + (-4.2 + 2.1z) = 8.4 Combine like terms: 6.4 + -4.2 = 2.2 2.2 + 2.1z = 8.4 Solving 2.2 + 2.1z = 8.4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.2' to each side of the equation. 2.2 + -2.2 + 2.1z = 8.4 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 2.1z = 8.4 + -2.2 2.1z = 8.4 + -2.2 Combine like terms: 8.4 + -2.2 = 6.2 2.1z = 6.2 Divide each side by '2.1'. z = 2.952380952 Simplifying z = 2.952380952
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