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Simplifying -1(2z + 4) + 3(2z + 8) + -2z = 0 Reorder the terms: -1(4 + 2z) + 3(2z + 8) + -2z = 0 (4 * -1 + 2z * -1) + 3(2z + 8) + -2z = 0 (-4 + -2z) + 3(2z + 8) + -2z = 0 Reorder the terms: -4 + -2z + 3(8 + 2z) + -2z = 0 -4 + -2z + (8 * 3 + 2z * 3) + -2z = 0 -4 + -2z + (24 + 6z) + -2z = 0 Reorder the terms: -4 + 24 + -2z + 6z + -2z = 0 Combine like terms: -4 + 24 = 20 20 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 20 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 20 + 2z = 0 Solving 20 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2z = 0 + -20 2z = 0 + -20 Combine like terms: 0 + -20 = -20 2z = -20 Divide each side by '2'. z = -10 Simplifying z = -10
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