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Simplifying -1(7z + -1(13z + 2)) = 2 + (5z + 0) Reorder the terms: -1(7z + -1(2 + 13z)) = 2 + (5z + 0) -1(7z + (2 * -1 + 13z * -1)) = 2 + (5z + 0) -1(7z + (-2 + -13z)) = 2 + (5z + 0) Reorder the terms: -1(-2 + 7z + -13z) = 2 + (5z + 0) Combine like terms: 7z + -13z = -6z -1(-2 + -6z) = 2 + (5z + 0) (-2 * -1 + -6z * -1) = 2 + (5z + 0) (2 + 6z) = 2 + (5z + 0) Reorder the terms: 2 + 6z = 2 + (0 + 5z) Remove the zero: 2 + 6z = 2 + (5z) 2 + 6z = 2 + (5z) Add '-2' to each side of the equation. 2 + -2 + 6z = 2 + -2 + (5z) Combine like terms: 2 + -2 = 0 0 + 6z = 2 + -2 + (5z) 6z = 2 + -2 + (5z) Combine like terms: 2 + -2 = 0 6z = 0 + (5z) 6z = (5z) Solving 6z = (5z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-5z)' to each side of the equation. 6z + (-5z) = (5z) + (-5z) Combine like terms: 6z + (-5z) = 1z 1z = (5z) + (-5z) Combine like terms: (5z) + (-5z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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