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Simplifying 12 + 5z = 12 + -1(5z + 10) Reorder the terms: 12 + 5z = 12 + -1(10 + 5z) 12 + 5z = 12 + (10 * -1 + 5z * -1) 12 + 5z = 12 + (-10 + -5z) Combine like terms: 12 + -10 = 2 12 + 5z = 2 + -5z Solving 12 + 5z = 2 + -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. 12 + 5z + 5z = 2 + -5z + 5z Combine like terms: 5z + 5z = 10z 12 + 10z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 12 + 10z = 2 + 0 12 + 10z = 2 Add '-12' to each side of the equation. 12 + -12 + 10z = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10z = 2 + -12 10z = 2 + -12 Combine like terms: 2 + -12 = -10 10z = -10 Divide each side by '10'. z = -1 Simplifying z = -1
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