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Simplifying 3z + 12 = 4z + -6 Reorder the terms: 12 + 3z = 4z + -6 Reorder the terms: 12 + 3z = -6 + 4z Solving 12 + 3z = -6 + 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 = -6 + 4z + -4z Combine like terms: 3z + -4z = -1z 12 + -1z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + -1z = -6 + 0 12 + -1z = -6 Add '-12' to each side of the equation. 12 + -12 + -1z = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = -6 + -12 -1z = -6 + -12 Combine like terms: -6 + -12 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18
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