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Simplifying 6z + 10(6z + 10) = 0 Reorder the terms: 6z + 10(10 + 6z) = 0 6z + (10 * 10 + 6z * 10) = 0 6z + (100 + 60z) = 0 Reorder the terms: 100 + 6z + 60z = 0 Combine like terms: 6z + 60z = 66z 100 + 66z = 0 Solving 100 + 66z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 66z = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 66z = 0 + -100 66z = 0 + -100 Combine like terms: 0 + -100 = -100 66z = -100 Divide each side by '66'. z = -1.515151515 Simplifying z = -1.515151515
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