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Simplifying -1[7z + -1(15z + 10)] = 10 + (7z + 5) Reorder the terms: -1[7z + -1(10 + 15z)] = 10 + (7z + 5) -1[7z + (10 * -1 + 15z * -1)] = 10 + (7z + 5) -1[7z + (-10 + -15z)] = 10 + (7z + 5) Reorder the terms: -1[-10 + 7z + -15z] = 10 + (7z + 5) Combine like terms: 7z + -15z = -8z -1[-10 + -8z] = 10 + (7z + 5) [-10 * -1 + -8z * -1] = 10 + (7z + 5) [10 + 8z] = 10 + (7z + 5) Reorder the terms: 10 + 8z = 10 + (5 + 7z) Remove parenthesis around (5 + 7z) 10 + 8z = 10 + 5 + 7z Combine like terms: 10 + 5 = 15 10 + 8z = 15 + 7z Solving 10 + 8z = 15 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 10 + 8z + -7z = 15 + 7z + -7z Combine like terms: 8z + -7z = 1z 10 + 1z = 15 + 7z + -7z Combine like terms: 7z + -7z = 0 10 + 1z = 15 + 0 10 + 1z = 15 Add '-10' to each side of the equation. 10 + -10 + 1z = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 15 + -10 1z = 15 + -10 Combine like terms: 15 + -10 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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