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Simplifying -1(2z + 6) + 3(2z + 5) + -2z = 0 Reorder the terms: -1(6 + 2z) + 3(2z + 5) + -2z = 0 (6 * -1 + 2z * -1) + 3(2z + 5) + -2z = 0 (-6 + -2z) + 3(2z + 5) + -2z = 0 Reorder the terms: -6 + -2z + 3(5 + 2z) + -2z = 0 -6 + -2z + (5 * 3 + 2z * 3) + -2z = 0 -6 + -2z + (15 + 6z) + -2z = 0 Reorder the terms: -6 + 15 + -2z + 6z + -2z = 0 Combine like terms: -6 + 15 = 9 9 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 9 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 9 + 2z = 0 Solving 9 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = 0 + -9 2z = 0 + -9 Combine like terms: 0 + -9 = -9 2z = -9 Divide each side by '2'. z = -4.5 Simplifying z = -4.5
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