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Simplifying -1[3z + -1(11z + 3)] = 3 + (7z + 7) Reorder the terms: -1[3z + -1(3 + 11z)] = 3 + (7z + 7) -1[3z + (3 * -1 + 11z * -1)] = 3 + (7z + 7) -1[3z + (-3 + -11z)] = 3 + (7z + 7) Reorder the terms: -1[-3 + 3z + -11z] = 3 + (7z + 7) Combine like terms: 3z + -11z = -8z -1[-3 + -8z] = 3 + (7z + 7) [-3 * -1 + -8z * -1] = 3 + (7z + 7) [3 + 8z] = 3 + (7z + 7) Reorder the terms: 3 + 8z = 3 + (7 + 7z) Remove parenthesis around (7 + 7z) 3 + 8z = 3 + 7 + 7z Combine like terms: 3 + 7 = 10 3 + 8z = 10 + 7z Solving 3 + 8z = 10 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 3 + 8z + -7z = 10 + 7z + -7z Combine like terms: 8z + -7z = 1z 3 + 1z = 10 + 7z + -7z Combine like terms: 7z + -7z = 0 3 + 1z = 10 + 0 3 + 1z = 10 Add '-3' to each side of the equation. 3 + -3 + 1z = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 10 + -3 1z = 10 + -3 Combine like terms: 10 + -3 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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