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Simplifying -3z + -12 = -6z + 12 Reorder the terms: -12 + -3z = -6z + 12 Reorder the terms: -12 + -3z = 12 + -6z Solving -12 + -3z = 12 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -12 + -3z + 6z = 12 + -6z + 6z Combine like terms: -3z + 6z = 3z -12 + 3z = 12 + -6z + 6z Combine like terms: -6z + 6z = 0 -12 + 3z = 12 + 0 -12 + 3z = 12 Add '12' to each side of the equation. -12 + 12 + 3z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 12 + 12 3z = 12 + 12 Combine like terms: 12 + 12 = 24 3z = 24 Divide each side by '3'. z = 8 Simplifying z = 8