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Simplifying 12 + 8z + -3z = z + -4 Combine like terms: 8z + -3z = 5z 12 + 5z = z + -4 Reorder the terms: 12 + 5z = -4 + z Solving 12 + 5z = -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 + 5z + -1z = -4 + z + -1z Combine like terms: 5z + -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 = -16 4z = -16 Divide each side by '4'. z = -4 Simplifying z = -4
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