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Simplifying -1(2z + 3) + 3(2z + 8) + -2z = 0 Reorder the terms: -1(3 + 2z) + 3(2z + 8) + -2z = 0 (3 * -1 + 2z * -1) + 3(2z + 8) + -2z = 0 (-3 + -2z) + 3(2z + 8) + -2z = 0 Reorder the terms: -3 + -2z + 3(8 + 2z) + -2z = 0 -3 + -2z + (8 * 3 + 2z * 3) + -2z = 0 -3 + -2z + (24 + 6z) + -2z = 0 Reorder the terms: -3 + 24 + -2z + 6z + -2z = 0 Combine like terms: -3 + 24 = 21 21 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 21 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 21 + 2z = 0 Solving 21 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2z = 0 + -21 2z = 0 + -21 Combine like terms: 0 + -21 = -21 2z = -21 Divide each side by '2'. z = -10.5 Simplifying z = -10.5
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