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Simplifying -12 = -2(3 + 3z) -12 = (3 * -2 + 3z * -2) -12 = (-6 + -6z) Solving -12 = -6 + -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 + 6z = -6 + -6z + 6z Combine like terms: -6z + 6z = 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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