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Simplifying -1z + 7 = 17 + 4z + -5 Reorder the terms: 7 + -1z = 17 + 4z + -5 Reorder the terms: 7 + -1z = 17 + -5 + 4z Combine like terms: 17 + -5 = 12 7 + -1z = 12 + 4z Solving 7 + -1z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7 + -1z + -4z = 12 + 4z + -4z Combine like terms: -1z + -4z = -5z 7 + -5z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + -5z = 12 + 0 7 + -5z = 12 Add '-7' to each side of the equation. 7 + -7 + -5z = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = 12 + -7 -5z = 12 + -7 Combine like terms: 12 + -7 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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