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