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Simplifying 9z + 5(8 + 2) + -6(2z + -7) = 40 Combine like terms: 8 + 2 = 10 9z + 5(10) + -6(2z + -7) = 40 Multiply 5 * 10 9z + 50 + -6(2z + -7) = 40 Reorder the terms: 9z + 50 + -6(-7 + 2z) = 40 9z + 50 + (-7 * -6 + 2z * -6) = 40 9z + 50 + (42 + -12z) = 40 Reorder the terms: 50 + 42 + 9z + -12z = 40 Combine like terms: 50 + 42 = 92 92 + 9z + -12z = 40 Combine like terms: 9z + -12z = -3z 92 + -3z = 40 Solving 92 + -3z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + -3z = 40 + -92 Combine like terms: 92 + -92 = 0 0 + -3z = 40 + -92 -3z = 40 + -92 Combine like terms: 40 + -92 = -52 -3z = -52 Divide each side by '-3'. z = 17.33333333 Simplifying z = 17.33333333
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