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Simplifying 3(5z + -6) + 4z = 0 Reorder the terms: 3(-6 + 5z) + 4z = 0 (-6 * 3 + 5z * 3) + 4z = 0 (-18 + 15z) + 4z = 0 Combine like terms: 15z + 4z = 19z -18 + 19z = 0 Solving -18 + 19z = 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 + 19z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 19z = 0 + 18 19z = 0 + 18 Combine like terms: 0 + 18 = 18 19z = 18 Divide each side by '19'. z = 0.9473684211 Simplifying z = 0.9473684211
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