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Simplifying -1[3z + -1(10z + 7)] = 7 + (6z + 2) Reorder the terms: -1[3z + -1(7 + 10z)] = 7 + (6z + 2) -1[3z + (7 * -1 + 10z * -1)] = 7 + (6z + 2) -1[3z + (-7 + -10z)] = 7 + (6z + 2) Reorder the terms: -1[-7 + 3z + -10z] = 7 + (6z + 2) Combine like terms: 3z + -10z = -7z -1[-7 + -7z] = 7 + (6z + 2) [-7 * -1 + -7z * -1] = 7 + (6z + 2) [7 + 7z] = 7 + (6z + 2) Reorder the terms: 7 + 7z = 7 + (2 + 6z) Remove parenthesis around (2 + 6z) 7 + 7z = 7 + 2 + 6z Combine like terms: 7 + 2 = 9 7 + 7z = 9 + 6z Solving 7 + 7z = 9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + 7z + -6z = 9 + 6z + -6z Combine like terms: 7z + -6z = 1z 7 + 1z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + 1z = 9 + 0 7 + 1z = 9 Add '-7' to each side of the equation. 7 + -7 + 1z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 9 + -7 1z = 9 + -7 Combine like terms: 9 + -7 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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