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Simplifying 12.3(4z + -2) = 21 + 12z Reorder the terms: 12.3(-2 + 4z) = 21 + 12z (-2 * 12.3 + 4z * 12.3) = 21 + 12z (-24.6 + 49.2z) = 21 + 12z Solving -24.6 + 49.2z = 21 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -24.6 + 49.2z + -12z = 21 + 12z + -12z Combine like terms: 49.2z + -12z = 37.2z -24.6 + 37.2z = 21 + 12z + -12z Combine like terms: 12z + -12z = 0 -24.6 + 37.2z = 21 + 0 -24.6 + 37.2z = 21 Add '24.6' to each side of the equation. -24.6 + 24.6 + 37.2z = 21 + 24.6 Combine like terms: -24.6 + 24.6 = 0.0 0.0 + 37.2z = 21 + 24.6 37.2z = 21 + 24.6 Combine like terms: 21 + 24.6 = 45.6 37.2z = 45.6 Divide each side by '37.2'. z = 1.225806452 Simplifying z = 1.225806452
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