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Simplifying 5z + -14 = -24 + -2z Reorder the terms: -14 + 5z = -24 + -2z Solving -14 + 5z = -24 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -14 + 5z + 2z = -24 + -2z + 2z Combine like terms: 5z + 2z = 7z -14 + 7z = -24 + -2z + 2z Combine like terms: -2z + 2z = 0 -14 + 7z = -24 + 0 -14 + 7z = -24 Add '14' to each side of the equation. -14 + 14 + 7z = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 7z = -24 + 14 7z = -24 + 14 Combine like terms: -24 + 14 = -10 7z = -10 Divide each side by '7'. z = -1.428571429 Simplifying z = -1.428571429
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