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Simplifying -1(2z + 8) + 3(2z + 3) + -2z = 0 Reorder the terms: -1(8 + 2z) + 3(2z + 3) + -2z = 0 (8 * -1 + 2z * -1) + 3(2z + 3) + -2z = 0 (-8 + -2z) + 3(2z + 3) + -2z = 0 Reorder the terms: -8 + -2z + 3(3 + 2z) + -2z = 0 -8 + -2z + (3 * 3 + 2z * 3) + -2z = 0 -8 + -2z + (9 + 6z) + -2z = 0 Reorder the terms: -8 + 9 + -2z + 6z + -2z = 0 Combine like terms: -8 + 9 = 1 1 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 1 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 1 + 2z = 0 Solving 1 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 0 + -1 2z = 0 + -1 Combine like terms: 0 + -1 = -1 2z = -1 Divide each side by '2'. z = -0.5 Simplifying z = -0.5
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