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Simplifying 6(z + 4) + -3z + -20 = 0 Reorder the terms: 6(4 + z) + -3z + -20 = 0 (4 * 6 + z * 6) + -3z + -20 = 0 (24 + 6z) + -3z + -20 = 0 Reorder the terms: 24 + -20 + 6z + -3z = 0 Combine like terms: 24 + -20 = 4 4 + 6z + -3z = 0 Combine like terms: 6z + -3z = 3z 4 + 3z = 0 Solving 4 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 0 + -4 3z = 0 + -4 Combine like terms: 0 + -4 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333
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