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Simplifying 3z + 8 = 12 + 3 + -1z Reorder the terms: 8 + 3z = 12 + 3 + -1z Combine like terms: 12 + 3 = 15 8 + 3z = 15 + -1z Solving 8 + 3z = 15 + -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 = 15 + -1z + z Combine like terms: 3z + z = 4z 8 + 4z = 15 + -1z + z Combine like terms: -1z + z = 0 8 + 4z = 15 + 0 8 + 4z = 15 Add '-8' to each side of the equation. 8 + -8 + 4z = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 4z = 15 + -8 4z = 15 + -8 Combine like terms: 15 + -8 = 7 4z = 7 Divide each side by '4'. z = 1.75 Simplifying z = 1.75
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