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Simplifying 5(z + -6) + 4z = 0 Reorder the terms: 5(-6 + z) + 4z = 0 (-6 * 5 + z * 5) + 4z = 0 (-30 + 5z) + 4z = 0 Combine like terms: 5z + 4z = 9z -30 + 9z = 0 Solving -30 + 9z = 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 + 9z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 9z = 0 + 30 9z = 0 + 30 Combine like terms: 0 + 30 = 30 9z = 30 Divide each side by '9'. z = 3.333333333 Simplifying z = 3.333333333
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