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Simplifying 9(4z + -3) + -7(10z + -8) = n Reorder the terms: 9(-3 + 4z) + -7(10z + -8) = n (-3 * 9 + 4z * 9) + -7(10z + -8) = n (-27 + 36z) + -7(10z + -8) = n Reorder the terms: -27 + 36z + -7(-8 + 10z) = n -27 + 36z + (-8 * -7 + 10z * -7) = n -27 + 36z + (56 + -70z) = n Reorder the terms: -27 + 56 + 36z + -70z = n Combine like terms: -27 + 56 = 29 29 + 36z + -70z = n Combine like terms: 36z + -70z = -34z 29 + -34z = n Solving 29 + -34z = n Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -34z = -29 + n Combine like terms: 29 + -29 = 0 0 + -34z = -29 + n -34z = -29 + n Divide each side by '-34'. z = 0.8529411765 + -0.02941176471n Simplifying z = 0.8529411765 + -0.02941176471n
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