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Simplifying -1(2z + 7) + 3(2z + 5) + -2z = 0 Reorder the terms: -1(7 + 2z) + 3(2z + 5) + -2z = 0 (7 * -1 + 2z * -1) + 3(2z + 5) + -2z = 0 (-7 + -2z) + 3(2z + 5) + -2z = 0 Reorder the terms: -7 + -2z + 3(5 + 2z) + -2z = 0 -7 + -2z + (5 * 3 + 2z * 3) + -2z = 0 -7 + -2z + (15 + 6z) + -2z = 0 Reorder the terms: -7 + 15 + -2z + 6z + -2z = 0 Combine like terms: -7 + 15 = 8 8 + -2z + 6z + -2z = 0 Combine like terms: -2z + 6z = 4z 8 + 4z + -2z = 0 Combine like terms: 4z + -2z = 2z 8 + 2z = 0 Solving 8 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 0 + -8 2z = 0 + -8 Combine like terms: 0 + -8 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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