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Simplifying 42 = 5z + 12 Reorder the terms: 42 = 12 + 5z Solving 42 = 12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 42 + -5z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 42 + -5z = 12 + 0 42 + -5z = 12 Add '-42' to each side of the equation. 42 + -42 + -5z = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -5z = 12 + -42 -5z = 12 + -42 Combine like terms: 12 + -42 = -30 -5z = -30 Divide each side by '-5'. z = 6 Simplifying z = 6
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