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Simplifying -1(2z + 2) + 3(2z + 7) + -2z = 0 Reorder the terms: -1(2 + 2z) + 3(2z + 7) + -2z = 0 (2 * -1 + 2z * -1) + 3(2z + 7) + -2z = 0 (-2 + -2z) + 3(2z + 7) + -2z = 0 Reorder the terms: -2 + -2z + 3(7 + 2z) + -2z = 0 -2 + -2z + (7 * 3 + 2z * 3) + -2z = 0 -2 + -2z + (21 + 6z) + -2z = 0 Reorder the terms: -2 + 21 + -2z + 6z + -2z = 0 Combine like terms: -2 + 21 = 19 19 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 19 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 19 + 2z = 0 Solving 19 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2z = 0 + -19 2z = 0 + -19 Combine like terms: 0 + -19 = -19 2z = -19 Divide each side by '2'. z = -9.5 Simplifying z = -9.5
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