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Simplifying -1[6z + -1(9z + 10)] = 10(2z + 4) Reorder the terms: -1[6z + -1(10 + 9z)] = 10(2z + 4) -1[6z + (10 * -1 + 9z * -1)] = 10(2z + 4) -1[6z + (-10 + -9z)] = 10(2z + 4) Reorder the terms: -1[-10 + 6z + -9z] = 10(2z + 4) Combine like terms: 6z + -9z = -3z -1[-10 + -3z] = 10(2z + 4) [-10 * -1 + -3z * -1] = 10(2z + 4) [10 + 3z] = 10(2z + 4) Reorder the terms: 10 + 3z = 10(4 + 2z) 10 + 3z = (4 * 10 + 2z * 10) 10 + 3z = (40 + 20z) Solving 10 + 3z = 40 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 10 + 3z + -20z = 40 + 20z + -20z Combine like terms: 3z + -20z = -17z 10 + -17z = 40 + 20z + -20z Combine like terms: 20z + -20z = 0 10 + -17z = 40 + 0 10 + -17z = 40 Add '-10' to each side of the equation. 10 + -10 + -17z = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -17z = 40 + -10 -17z = 40 + -10 Combine like terms: 40 + -10 = 30 -17z = 30 Divide each side by '-17'. z = -1.764705882 Simplifying z = -1.764705882
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