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Simplifying 7 + -6z + -8z + -14z + 7 = 0 Reorder the terms: 7 + 7 + -6z + -8z + -14z = 0 Combine like terms: 7 + 7 = 14 14 + -6z + -8z + -14z = 0 Combine like terms: -6z + -8z = -14z 14 + -14z + -14z = 0 Combine like terms: -14z + -14z = -28z 14 + -28z = 0 Solving 14 + -28z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -28z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -28z = 0 + -14 -28z = 0 + -14 Combine like terms: 0 + -14 = -14 -28z = -14 Divide each side by '-28'. z = 0.5 Simplifying z = 0.5
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