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Simplifying 31(4 + -1z) = 0 (4 * 31 + -1z * 31) = 0 (124 + -31z) = 0 Solving 124 + -31z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-124' to each side of the equation. 124 + -124 + -31z = 0 + -124 Combine like terms: 124 + -124 = 0 0 + -31z = 0 + -124 -31z = 0 + -124 Combine like terms: 0 + -124 = -124 -31z = -124 Divide each side by '-31'. z = 4 Simplifying z = 4
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