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Simplifying 15(z + 406) = 240 Reorder the terms: 15(406 + z) = 240 (406 * 15 + z * 15) = 240 (6090 + 15z) = 240 Solving 6090 + 15z = 240 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6090' to each side of the equation. 6090 + -6090 + 15z = 240 + -6090 Combine like terms: 6090 + -6090 = 0 0 + 15z = 240 + -6090 15z = 240 + -6090 Combine like terms: 240 + -6090 = -5850 15z = -5850 Divide each side by '15'. z = -390 Simplifying z = -390
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