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Simplifying -1(2z + 2) + 3(2z + 4) + -2z = 0 Reorder the terms: -1(2 + 2z) + 3(2z + 4) + -2z = 0 (2 * -1 + 2z * -1) + 3(2z + 4) + -2z = 0 (-2 + -2z) + 3(2z + 4) + -2z = 0 Reorder the terms: -2 + -2z + 3(4 + 2z) + -2z = 0 -2 + -2z + (4 * 3 + 2z * 3) + -2z = 0 -2 + -2z + (12 + 6z) + -2z = 0 Reorder the terms: -2 + 12 + -2z + 6z + -2z = 0 Combine like terms: -2 + 12 = 10 10 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 10 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 10 + 2z = 0 Solving 10 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = 0 + -10 2z = 0 + -10 Combine like terms: 0 + -10 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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