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Simplifying -2(z + 2) + -2(4z + -3) + -9z = 0 Reorder the terms: -2(2 + z) + -2(4z + -3) + -9z = 0 (2 * -2 + z * -2) + -2(4z + -3) + -9z = 0 (-4 + -2z) + -2(4z + -3) + -9z = 0 Reorder the terms: -4 + -2z + -2(-3 + 4z) + -9z = 0 -4 + -2z + (-3 * -2 + 4z * -2) + -9z = 0 -4 + -2z + (6 + -8z) + -9z = 0 Reorder the terms: -4 + 6 + -2z + -8z + -9z = 0 Combine like terms: -4 + 6 = 2 2 + -2z + -8z + -9z = 0 Combine like terms: -2z + -8z = -10z 2 + -10z + -9z = 0 Combine like terms: -10z + -9z = -19z 2 + -19z = 0 Solving 2 + -19z = 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 + -19z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -19z = 0 + -2 -19z = 0 + -2 Combine like terms: 0 + -2 = -2 -19z = -2 Divide each side by '-19'. z = 0.1052631579 Simplifying z = 0.1052631579
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