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Simplifying -1[4z + -1(13z + 10)] = 10 + (8z + 9) Reorder the terms: -1[4z + -1(10 + 13z)] = 10 + (8z + 9) -1[4z + (10 * -1 + 13z * -1)] = 10 + (8z + 9) -1[4z + (-10 + -13z)] = 10 + (8z + 9) Reorder the terms: -1[-10 + 4z + -13z] = 10 + (8z + 9) Combine like terms: 4z + -13z = -9z -1[-10 + -9z] = 10 + (8z + 9) [-10 * -1 + -9z * -1] = 10 + (8z + 9) [10 + 9z] = 10 + (8z + 9) Reorder the terms: 10 + 9z = 10 + (9 + 8z) Remove parenthesis around (9 + 8z) 10 + 9z = 10 + 9 + 8z Combine like terms: 10 + 9 = 19 10 + 9z = 19 + 8z Solving 10 + 9z = 19 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 10 + 9z + -8z = 19 + 8z + -8z Combine like terms: 9z + -8z = 1z 10 + 1z = 19 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + 1z = 19 + 0 10 + 1z = 19 Add '-10' to each side of the equation. 10 + -10 + 1z = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 19 + -10 1z = 19 + -10 Combine like terms: 19 + -10 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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