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Simplifying 2z + -31 = -98z + 24 Reorder the terms: -31 + 2z = -98z + 24 Reorder the terms: -31 + 2z = 24 + -98z Solving -31 + 2z = 24 + -98z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '98z' to each side of the equation. -31 + 2z + 98z = 24 + -98z + 98z Combine like terms: 2z + 98z = 100z -31 + 100z = 24 + -98z + 98z Combine like terms: -98z + 98z = 0 -31 + 100z = 24 + 0 -31 + 100z = 24 Add '31' to each side of the equation. -31 + 31 + 100z = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 100z = 24 + 31 100z = 24 + 31 Combine like terms: 24 + 31 = 55 100z = 55 Divide each side by '100'. z = 0.55 Simplifying z = 0.55
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