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Simplifying 12 + -3z = z + 6 + 2z Reorder the terms: 12 + -3z = 6 + z + 2z Combine like terms: z + 2z = 3z 12 + -3z = 6 + 3z Solving 12 + -3z = 6 + 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 + -3z = 6 + 3z + -3z Combine like terms: -3z + -3z = -6z 12 + -6z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + -6z = 6 + 0 12 + -6z = 6 Add '-12' to each side of the equation. 12 + -12 + -6z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = 6 + -12 -6z = 6 + -12 Combine like terms: 6 + -12 = -6 -6z = -6 Divide each side by '-6'. z = 1 Simplifying z = 1
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