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Simplifying 3z + 8 = 12 + 3x + -1z Reorder the terms: 8 + 3z = 12 + 3x + -1z Solving 8 + 3z = 12 + 3x + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 8 + 3z + z = 12 + 3x + -1z + z Combine like terms: 3z + z = 4z 8 + 4z = 12 + 3x + -1z + z Combine like terms: -1z + z = 0 8 + 4z = 12 + 3x + 0 8 + 4z = 12 + 3x Add '-8' to each side of the equation. 8 + -8 + 4z = 12 + -8 + 3x Combine like terms: 8 + -8 = 0 0 + 4z = 12 + -8 + 3x 4z = 12 + -8 + 3x Combine like terms: 12 + -8 = 4 4z = 4 + 3x Divide each side by '4'. z = 1 + 0.75x Simplifying z = 1 + 0.75x
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