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Simplifying 2(z + 8.4) = z + 5.3 Reorder the terms: 2(8.4 + z) = z + 5.3 (8.4 * 2 + z * 2) = z + 5.3 (16.8 + 2z) = z + 5.3 Reorder the terms: 16.8 + 2z = 5.3 + z Solving 16.8 + 2z = 5.3 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 16.8 + 2z + -1z = 5.3 + z + -1z Combine like terms: 2z + -1z = 1z 16.8 + 1z = 5.3 + z + -1z Combine like terms: z + -1z = 0 16.8 + 1z = 5.3 + 0 16.8 + 1z = 5.3 Add '-16.8' to each side of the equation. 16.8 + -16.8 + 1z = 5.3 + -16.8 Combine like terms: 16.8 + -16.8 = 0.0 0.0 + 1z = 5.3 + -16.8 1z = 5.3 + -16.8 Combine like terms: 5.3 + -16.8 = -11.5 1z = -11.5 Divide each side by '1'. z = -11.5 Simplifying z = -11.5
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