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Simplifying -3z + 12 = 4z + -2 Reorder the terms: 12 + -3z = 4z + -2 Reorder the terms: 12 + -3z = -2 + 4z Solving 12 + -3z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 12 + -3z + -4z = -2 + 4z + -4z Combine like terms: -3z + -4z = -7z 12 + -7z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + -7z = -2 + 0 12 + -7z = -2 Add '-12' to each side of the equation. 12 + -12 + -7z = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7z = -2 + -12 -7z = -2 + -12 Combine like terms: -2 + -12 = -14 -7z = -14 Divide each side by '-7'. z = 2 Simplifying z = 2
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