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Simplifying 9z + 5(8 + z) + -6(2z + -7) = 50 9z + (8 * 5 + z * 5) + -6(2z + -7) = 50 9z + (40 + 5z) + -6(2z + -7) = 50 Reorder the terms: 9z + 40 + 5z + -6(-7 + 2z) = 50 9z + 40 + 5z + (-7 * -6 + 2z * -6) = 50 9z + 40 + 5z + (42 + -12z) = 50 Reorder the terms: 40 + 42 + 9z + 5z + -12z = 50 Combine like terms: 40 + 42 = 82 82 + 9z + 5z + -12z = 50 Combine like terms: 9z + 5z = 14z 82 + 14z + -12z = 50 Combine like terms: 14z + -12z = 2z 82 + 2z = 50 Solving 82 + 2z = 50 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 2z = 50 + -82 Combine like terms: 82 + -82 = 0 0 + 2z = 50 + -82 2z = 50 + -82 Combine like terms: 50 + -82 = -32 2z = -32 Divide each side by '2'. z = -16 Simplifying z = -16
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