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Simplifying -1[3z + -1(13z + 4)] = 4 + (9z + 7) Reorder the terms: -1[3z + -1(4 + 13z)] = 4 + (9z + 7) -1[3z + (4 * -1 + 13z * -1)] = 4 + (9z + 7) -1[3z + (-4 + -13z)] = 4 + (9z + 7) Reorder the terms: -1[-4 + 3z + -13z] = 4 + (9z + 7) Combine like terms: 3z + -13z = -10z -1[-4 + -10z] = 4 + (9z + 7) [-4 * -1 + -10z * -1] = 4 + (9z + 7) [4 + 10z] = 4 + (9z + 7) Reorder the terms: 4 + 10z = 4 + (7 + 9z) Remove parenthesis around (7 + 9z) 4 + 10z = 4 + 7 + 9z Combine like terms: 4 + 7 = 11 4 + 10z = 11 + 9z Solving 4 + 10z = 11 + 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. 4 + 10z + -9z = 11 + 9z + -9z Combine like terms: 10z + -9z = 1z 4 + 1z = 11 + 9z + -9z Combine like terms: 9z + -9z = 0 4 + 1z = 11 + 0 4 + 1z = 11 Add '-4' to each side of the equation. 4 + -4 + 1z = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 11 + -4 1z = 11 + -4 Combine like terms: 11 + -4 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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