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Simplifying 4z + 10 = 9z + -31 Reorder the terms: 10 + 4z = 9z + -31 Reorder the terms: 10 + 4z = -31 + 9z Solving 10 + 4z = -31 + 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. 10 + 4z + -9z = -31 + 9z + -9z Combine like terms: 4z + -9z = -5z 10 + -5z = -31 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + -5z = -31 + 0 10 + -5z = -31 Add '-10' to each side of the equation. 10 + -10 + -5z = -31 + -10 Combine like terms: 10 + -10 = 0 0 + -5z = -31 + -10 -5z = -31 + -10 Combine like terms: -31 + -10 = -41 -5z = -41 Divide each side by '-5'. z = 8.2 Simplifying z = 8.2
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