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Simplifying 6z + -16z + -9z + 18z + 2 = 0 Reorder the terms: 2 + 6z + -16z + -9z + 18z = 0 Combine like terms: 6z + -16z = -10z 2 + -10z + -9z + 18z = 0 Combine like terms: -10z + -9z = -19z 2 + -19z + 18z = 0 Combine like terms: -19z + 18z = -1z 2 + -1z = 0 Solving 2 + -1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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