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Simplifying z + 12 = -5z Reorder the terms: 12 + z = -5z Solving 12 + z = -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 + z + 5z = -5z + 5z Combine like terms: z + 5z = 6z 12 + 6z = -5z + 5z Combine like terms: -5z + 5z = 0 12 + 6z = 0 Add '-12' to each side of the equation. 12 + -12 + 6z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6z = 0 + -12 6z = 0 + -12 Combine like terms: 0 + -12 = -12 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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