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Simplifying 6z + 10 + -2z + 7 = 0 Reorder the terms: 10 + 7 + 6z + -2z = 0 Combine like terms: 10 + 7 = 17 17 + 6z + -2z = 0 Combine like terms: 6z + -2z = 4z 17 + 4z = 0 Solving 17 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4z = 0 + -17 4z = 0 + -17 Combine like terms: 0 + -17 = -17 4z = -17 Divide each side by '4'. z = -4.25 Simplifying z = -4.25
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