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Simplifying 6.4 + 2.4(z + -2) = 8.5 Reorder the terms: 6.4 + 2.4(-2 + z) = 8.5 6.4 + (-2 * 2.4 + z * 2.4) = 8.5 6.4 + (-4.8 + 2.4z) = 8.5 Combine like terms: 6.4 + -4.8 = 1.6 1.6 + 2.4z = 8.5 Solving 1.6 + 2.4z = 8.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + 2.4z = 8.5 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 2.4z = 8.5 + -1.6 2.4z = 8.5 + -1.6 Combine like terms: 8.5 + -1.6 = 6.9 2.4z = 6.9 Divide each side by '2.4'. z = 2.875 Simplifying z = 2.875
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