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Simplifying 3(1 + 4z) = -19 (1 * 3 + 4z * 3) = -19 (3 + 12z) = -19 Solving 3 + 12z = -19 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12z = -19 + -3 Combine like terms: 3 + -3 = 0 0 + 12z = -19 + -3 12z = -19 + -3 Combine like terms: -19 + -3 = -22 12z = -22 Divide each side by '12'. z = -1.833333333 Simplifying z = -1.833333333
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