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Simplifying 6.4 + 21(z + -2) = 8.5 Reorder the terms: 6.4 + 21(-2 + z) = 8.5 6.4 + (-2 * 21 + z * 21) = 8.5 6.4 + (-42 + 21z) = 8.5 Combine like terms: 6.4 + -42 = -35.6 -35.6 + 21z = 8.5 Solving -35.6 + 21z = 8.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35.6' to each side of the equation. -35.6 + 35.6 + 21z = 8.5 + 35.6 Combine like terms: -35.6 + 35.6 = 0.0 0.0 + 21z = 8.5 + 35.6 21z = 8.5 + 35.6 Combine like terms: 8.5 + 35.6 = 44.1 21z = 44.1 Divide each side by '21'. z = 2.1 Simplifying z = 2.1
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