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Simplifying -1[7z + -1(11z + 3)] = 3(3z + 10) Reorder the terms: -1[7z + -1(3 + 11z)] = 3(3z + 10) -1[7z + (3 * -1 + 11z * -1)] = 3(3z + 10) -1[7z + (-3 + -11z)] = 3(3z + 10) Reorder the terms: -1[-3 + 7z + -11z] = 3(3z + 10) Combine like terms: 7z + -11z = -4z -1[-3 + -4z] = 3(3z + 10) [-3 * -1 + -4z * -1] = 3(3z + 10) [3 + 4z] = 3(3z + 10) Reorder the terms: 3 + 4z = 3(10 + 3z) 3 + 4z = (10 * 3 + 3z * 3) 3 + 4z = (30 + 9z) Solving 3 + 4z = 30 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 3 + 4z + -9z = 30 + 9z + -9z Combine like terms: 4z + -9z = -5z 3 + -5z = 30 + 9z + -9z Combine like terms: 9z + -9z = 0 3 + -5z = 30 + 0 3 + -5z = 30 Add '-3' to each side of the equation. 3 + -3 + -5z = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = 30 + -3 -5z = 30 + -3 Combine like terms: 30 + -3 = 27 -5z = 27 Divide each side by '-5'. z = -5.4 Simplifying z = -5.4
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