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Simplifying 6(3z + 5) + 3z = 0 Reorder the terms: 6(5 + 3z) + 3z = 0 (5 * 6 + 3z * 6) + 3z = 0 (30 + 18z) + 3z = 0 Combine like terms: 18z + 3z = 21z 30 + 21z = 0 Solving 30 + 21z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 21z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 21z = 0 + -30 21z = 0 + -30 Combine like terms: 0 + -30 = -30 21z = -30 Divide each side by '21'. z = -1.428571429 Simplifying z = -1.428571429
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