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Simplifying -10z + 9(4 + 3z) = 0 -10z + (4 * 9 + 3z * 9) = 0 -10z + (36 + 27z) = 0 Reorder the terms: 36 + -10z + 27z = 0 Combine like terms: -10z + 27z = 17z 36 + 17z = 0 Solving 36 + 17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 17z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 17z = 0 + -36 17z = 0 + -36 Combine like terms: 0 + -36 = -36 17z = -36 Divide each side by '17'. z = -2.117647059 Simplifying z = -2.117647059
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