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Simplifying 12 = 5 + -3z Solving 12 = 5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 12 + 3z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 12 + 3z = 5 + 0 12 + 3z = 5 Add '-12' to each side of the equation. 12 + -12 + 3z = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 5 + -12 3z = 5 + -12 Combine like terms: 5 + -12 = -7 3z = -7 Divide each side by '3'. z = -2.333333333 Simplifying z = -2.333333333
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