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Simplifying 3(2 + -1z) = 7z + 12 + -4z (2 * 3 + -1z * 3) = 7z + 12 + -4z (6 + -3z) = 7z + 12 + -4z Reorder the terms: 6 + -3z = 12 + 7z + -4z Combine like terms: 7z + -4z = 3z 6 + -3z = 12 + 3z Solving 6 + -3z = 12 + 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. 6 + -3z + -3z = 12 + 3z + -3z Combine like terms: -3z + -3z = -6z 6 + -6z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + -6z = 12 + 0 6 + -6z = 12 Add '-6' to each side of the equation. 6 + -6 + -6z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6z = 12 + -6 -6z = 12 + -6 Combine like terms: 12 + -6 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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