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Simplifying 12 + -3z = z + 4 Reorder the terms: 12 + -3z = 4 + z Solving 12 + -3z = 4 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 12 + -3z + -1z = 4 + z + -1z Combine like terms: -3z + -1z = -4z 12 + -4z = 4 + z + -1z Combine like terms: z + -1z = 0 12 + -4z = 4 + 0 12 + -4z = 4 Add '-12' to each side of the equation. 12 + -12 + -4z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = 4 + -12 -4z = 4 + -12 Combine like terms: 4 + -12 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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