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Simplifying 5z + 7 + -4z = 3 + 12 Reorder the terms: 7 + 5z + -4z = 3 + 12 Combine like terms: 5z + -4z = 1z 7 + 1z = 3 + 12 Combine like terms: 3 + 12 = 15 7 + 1z = 15 Solving 7 + 1z = 15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1z = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 15 + -7 1z = 15 + -7 Combine like terms: 15 + -7 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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