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Simplifying 5z + 12 + -6z + 10 = 0 Reorder the terms: 12 + 10 + 5z + -6z = 0 Combine like terms: 12 + 10 = 22 22 + 5z + -6z = 0 Combine like terms: 5z + -6z = -1z 22 + -1z = 0 Solving 22 + -1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1z = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1z = 0 + -22 -1z = 0 + -22 Combine like terms: 0 + -22 = -22 -1z = -22 Divide each side by '-1'. z = 22 Simplifying z = 22
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