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Simplifying 12 = 3z + -5z + 9 + -1z Reorder the terms: 12 = 9 + 3z + -5z + -1z Combine like terms: 3z + -5z = -2z 12 = 9 + -2z + -1z Combine like terms: -2z + -1z = -3z 12 = 9 + -3z Solving 12 = 9 + -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 = 9 + -3z + 3z Combine like terms: -3z + 3z = 0 12 + 3z = 9 + 0 12 + 3z = 9 Add '-12' to each side of the equation. 12 + -12 + 3z = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 9 + -12 3z = 9 + -12 Combine like terms: 9 + -12 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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