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Simplifying -1(2z + 3) + 7(9 + -1z) = 0 Reorder the terms: -1(3 + 2z) + 7(9 + -1z) = 0 (3 * -1 + 2z * -1) + 7(9 + -1z) = 0 (-3 + -2z) + 7(9 + -1z) = 0 -3 + -2z + (9 * 7 + -1z * 7) = 0 -3 + -2z + (63 + -7z) = 0 Reorder the terms: -3 + 63 + -2z + -7z = 0 Combine like terms: -3 + 63 = 60 60 + -2z + -7z = 0 Combine like terms: -2z + -7z = -9z 60 + -9z = 0 Solving 60 + -9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -9z = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -9z = 0 + -60 -9z = 0 + -60 Combine like terms: 0 + -60 = -60 -9z = -60 Divide each side by '-9'. z = 6.666666667 Simplifying z = 6.666666667
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