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Simplifying -1(8z + -1(13z + 10)) = 10 + (4z + 4) Reorder the terms: -1(8z + -1(10 + 13z)) = 10 + (4z + 4) -1(8z + (10 * -1 + 13z * -1)) = 10 + (4z + 4) -1(8z + (-10 + -13z)) = 10 + (4z + 4) Reorder the terms: -1(-10 + 8z + -13z) = 10 + (4z + 4) Combine like terms: 8z + -13z = -5z -1(-10 + -5z) = 10 + (4z + 4) (-10 * -1 + -5z * -1) = 10 + (4z + 4) (10 + 5z) = 10 + (4z + 4) Reorder the terms: 10 + 5z = 10 + (4 + 4z) Remove parenthesis around (4 + 4z) 10 + 5z = 10 + 4 + 4z Combine like terms: 10 + 4 = 14 10 + 5z = 14 + 4z Solving 10 + 5z = 14 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + 5z + -4z = 14 + 4z + -4z Combine like terms: 5z + -4z = 1z 10 + 1z = 14 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + 1z = 14 + 0 10 + 1z = 14 Add '-10' to each side of the equation. 10 + -10 + 1z = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 14 + -10 1z = 14 + -10 Combine like terms: 14 + -10 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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