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Simplifying 3 + -4z = z + -12 Reorder the terms: 3 + -4z = -12 + z Solving 3 + -4z = -12 + 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. 3 + -4z + -1z = -12 + z + -1z Combine like terms: -4z + -1z = -5z 3 + -5z = -12 + z + -1z Combine like terms: z + -1z = 0 3 + -5z = -12 + 0 3 + -5z = -12 Add '-3' to each side of the equation. 3 + -3 + -5z = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = -12 + -3 -5z = -12 + -3 Combine like terms: -12 + -3 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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