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Simplifying -1[7z + -1(10z + 2)] = 2 + (2z + 6) Reorder the terms: -1[7z + -1(2 + 10z)] = 2 + (2z + 6) -1[7z + (2 * -1 + 10z * -1)] = 2 + (2z + 6) -1[7z + (-2 + -10z)] = 2 + (2z + 6) Reorder the terms: -1[-2 + 7z + -10z] = 2 + (2z + 6) Combine like terms: 7z + -10z = -3z -1[-2 + -3z] = 2 + (2z + 6) [-2 * -1 + -3z * -1] = 2 + (2z + 6) [2 + 3z] = 2 + (2z + 6) Reorder the terms: 2 + 3z = 2 + (6 + 2z) Remove parenthesis around (6 + 2z) 2 + 3z = 2 + 6 + 2z Combine like terms: 2 + 6 = 8 2 + 3z = 8 + 2z Solving 2 + 3z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 2 + 3z + -2z = 8 + 2z + -2z Combine like terms: 3z + -2z = 1z 2 + 1z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 1z = 8 + 0 2 + 1z = 8 Add '-2' to each side of the equation. 2 + -2 + 1z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 8 + -2 1z = 8 + -2 Combine like terms: 8 + -2 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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