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