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Simplifying 12 + -62 = 10 + -5z Combine like terms: 12 + -62 = -50 -50 = 10 + -5z Solving -50 = 10 + -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. -50 + 5z = 10 + -5z + 5z Combine like terms: -5z + 5z = 0 -50 + 5z = 10 + 0 -50 + 5z = 10 Add '50' to each side of the equation. -50 + 50 + 5z = 10 + 50 Combine like terms: -50 + 50 = 0 0 + 5z = 10 + 50 5z = 10 + 50 Combine like terms: 10 + 50 = 60 5z = 60 Divide each side by '5'. z = 12 Simplifying z = 12
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