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Simplifying 12z + -79 = 5 + -12z Reorder the terms: -79 + 12z = 5 + -12z Solving -79 + 12z = 5 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -79 + 12z + 12z = 5 + -12z + 12z Combine like terms: 12z + 12z = 24z -79 + 24z = 5 + -12z + 12z Combine like terms: -12z + 12z = 0 -79 + 24z = 5 + 0 -79 + 24z = 5 Add '79' to each side of the equation. -79 + 79 + 24z = 5 + 79 Combine like terms: -79 + 79 = 0 0 + 24z = 5 + 79 24z = 5 + 79 Combine like terms: 5 + 79 = 84 24z = 84 Divide each side by '24'. z = 3.5 Simplifying z = 3.5
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