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Simplifying -1[10z + -13 + 10] = 10 + (2z + 7) Reorder the terms: -1[-13 + 10 + 10z] = 10 + (2z + 7) Combine like terms: -13 + 10 = -3 -1[-3 + 10z] = 10 + (2z + 7) [-3 * -1 + 10z * -1] = 10 + (2z + 7) [3 + -10z] = 10 + (2z + 7) Reorder the terms: 3 + -10z = 10 + (7 + 2z) Remove parenthesis around (7 + 2z) 3 + -10z = 10 + 7 + 2z Combine like terms: 10 + 7 = 17 3 + -10z = 17 + 2z Solving 3 + -10z = 17 + 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. 3 + -10z + -2z = 17 + 2z + -2z Combine like terms: -10z + -2z = -12z 3 + -12z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + -12z = 17 + 0 3 + -12z = 17 Add '-3' to each side of the equation. 3 + -3 + -12z = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -12z = 17 + -3 -12z = 17 + -3 Combine like terms: 17 + -3 = 14 -12z = 14 Divide each side by '-12'. z = -1.166666667 Simplifying z = -1.166666667
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