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Simplifying -1z + -12 = 3z + 12 Reorder the terms: -12 + -1z = 3z + 12 Reorder the terms: -12 + -1z = 12 + 3z Solving -12 + -1z = 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. -12 + -1z + -3z = 12 + 3z + -3z Combine like terms: -1z + -3z = -4z -12 + -4z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + -4z = 12 + 0 -12 + -4z = 12 Add '12' to each side of the equation. -12 + 12 + -4z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4z = 12 + 12 -4z = 12 + 12 Combine like terms: 12 + 12 = 24 -4z = 24 Divide each side by '-4'. z = -6 Simplifying z = -6
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