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Simplifying 6.5 = -31(z + 4.3) Reorder the terms: 6.5 = -31(4.3 + z) 6.5 = (4.3 * -31 + z * -31) 6.5 = (-133.3 + -31z) Solving 6.5 = -133.3 + -31z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31z' to each side of the equation. 6.5 + 31z = -133.3 + -31z + 31z Combine like terms: -31z + 31z = 0 6.5 + 31z = -133.3 + 0 6.5 + 31z = -133.3 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 31z = -133.3 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 31z = -133.3 + -6.5 31z = -133.3 + -6.5 Combine like terms: -133.3 + -6.5 = -139.8 31z = -139.8 Divide each side by '31'. z = -4.509677419 Simplifying z = -4.509677419
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