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