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Simplifying 6(5z + 3) + 2z = 0 Reorder the terms: 6(3 + 5z) + 2z = 0 (3 * 6 + 5z * 6) + 2z = 0 (18 + 30z) + 2z = 0 Combine like terms: 30z + 2z = 32z 18 + 32z = 0 Solving 18 + 32z = 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 + 32z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 32z = 0 + -18 32z = 0 + -18 Combine like terms: 0 + -18 = -18 32z = -18 Divide each side by '32'. z = -0.5625 Simplifying z = -0.5625
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