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Simplifying 12 + -6z + -5 + -10z = 0 Reorder the terms: 12 + -5 + -6z + -10z = 0 Combine like terms: 12 + -5 = 7 7 + -6z + -10z = 0 Combine like terms: -6z + -10z = -16z 7 + -16z = 0 Solving 7 + -16z = 0 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 + -16z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -16z = 0 + -7 -16z = 0 + -7 Combine like terms: 0 + -7 = -7 -16z = -7 Divide each side by '-16'. z = 0.4375 Simplifying z = 0.4375
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