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Simplifying 2z + -13 = 9z + 24 Reorder the terms: -13 + 2z = 9z + 24 Reorder the terms: -13 + 2z = 24 + 9z Solving -13 + 2z = 24 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -13 + 2z + -9z = 24 + 9z + -9z Combine like terms: 2z + -9z = -7z -13 + -7z = 24 + 9z + -9z Combine like terms: 9z + -9z = 0 -13 + -7z = 24 + 0 -13 + -7z = 24 Add '13' to each side of the equation. -13 + 13 + -7z = 24 + 13 Combine like terms: -13 + 13 = 0 0 + -7z = 24 + 13 -7z = 24 + 13 Combine like terms: 24 + 13 = 37 -7z = 37 Divide each side by '-7'. z = -5.285714286 Simplifying z = -5.285714286
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