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Simplifying (3 + z) * 6 + 18z = 0 Reorder the terms for easier multiplication: 6(3 + z) + 18z = 0 (3 * 6 + z * 6) + 18z = 0 (18 + 6z) + 18z = 0 Combine like terms: 6z + 18z = 24z 18 + 24z = 0 Solving 18 + 24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 24z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 24z = 0 + -18 24z = 0 + -18 Combine like terms: 0 + -18 = -18 24z = -18 Divide each side by '24'. z = -0.75 Simplifying z = -0.75
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