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Simplifying -1[5z + -1(7z + 7)] = 7 + (1z + 3) Reorder the terms: -1[5z + -1(7 + 7z)] = 7 + (1z + 3) -1[5z + (7 * -1 + 7z * -1)] = 7 + (1z + 3) -1[5z + (-7 + -7z)] = 7 + (1z + 3) Reorder the terms: -1[-7 + 5z + -7z] = 7 + (1z + 3) Combine like terms: 5z + -7z = -2z -1[-7 + -2z] = 7 + (1z + 3) [-7 * -1 + -2z * -1] = 7 + (1z + 3) [7 + 2z] = 7 + (1z + 3) Reorder the terms: 7 + 2z = 7 + (3 + 1z) Remove parenthesis around (3 + 1z) 7 + 2z = 7 + 3 + 1z Combine like terms: 7 + 3 = 10 7 + 2z = 10 + 1z Solving 7 + 2z = 10 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 7 + 2z + -1z = 10 + 1z + -1z Combine like terms: 2z + -1z = 1z 7 + 1z = 10 + 1z + -1z Combine like terms: 1z + -1z = 0 7 + 1z = 10 + 0 7 + 1z = 10 Add '-7' to each side of the equation. 7 + -7 + 1z = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 10 + -7 1z = 10 + -7 Combine like terms: 10 + -7 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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