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Simplifying -1[7z + -1(10z + 10)] = 10 + (2z + 7) Reorder the terms: -1[7z + -1(10 + 10z)] = 10 + (2z + 7) -1[7z + (10 * -1 + 10z * -1)] = 10 + (2z + 7) -1[7z + (-10 + -10z)] = 10 + (2z + 7) Reorder the terms: -1[-10 + 7z + -10z] = 10 + (2z + 7) Combine like terms: 7z + -10z = -3z -1[-10 + -3z] = 10 + (2z + 7) [-10 * -1 + -3z * -1] = 10 + (2z + 7) [10 + 3z] = 10 + (2z + 7) Reorder the terms: 10 + 3z = 10 + (7 + 2z) Remove parenthesis around (7 + 2z) 10 + 3z = 10 + 7 + 2z Combine like terms: 10 + 7 = 17 10 + 3z = 17 + 2z Solving 10 + 3z = 17 + 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. 10 + 3z + -2z = 17 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 17 + 0 10 + 1z = 17 Add '-10' to each side of the equation. 10 + -10 + 1z = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 17 + -10 1z = 17 + -10 Combine like terms: 17 + -10 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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