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Simplifying 9 + -2(4z + -5) + 6 = 0 Reorder the terms: 9 + -2(-5 + 4z) + 6 = 0 9 + (-5 * -2 + 4z * -2) + 6 = 0 9 + (10 + -8z) + 6 = 0 Reorder the terms: 9 + 10 + 6 + -8z = 0 Combine like terms: 9 + 10 = 19 19 + 6 + -8z = 0 Combine like terms: 19 + 6 = 25 25 + -8z = 0 Solving 25 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -8z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8z = 0 + -25 -8z = 0 + -25 Combine like terms: 0 + -25 = -25 -8z = -25 Divide each side by '-8'. z = 3.125 Simplifying z = 3.125
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