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Simplifying -1(2z + 2) + 3(2z + 5) + -2z = 0 Reorder the terms: -1(2 + 2z) + 3(2z + 5) + -2z = 0 (2 * -1 + 2z * -1) + 3(2z + 5) + -2z = 0 (-2 + -2z) + 3(2z + 5) + -2z = 0 Reorder the terms: -2 + -2z + 3(5 + 2z) + -2z = 0 -2 + -2z + (5 * 3 + 2z * 3) + -2z = 0 -2 + -2z + (15 + 6z) + -2z = 0 Reorder the terms: -2 + 15 + -2z + 6z + -2z = 0 Combine like terms: -2 + 15 = 13 13 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 13 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 13 + 2z = 0 Solving 13 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2z = 0 + -13 2z = 0 + -13 Combine like terms: 0 + -13 = -13 2z = -13 Divide each side by '2'. z = -6.5 Simplifying z = -6.5
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