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Simplifying -1[4z + -1(7z + 5)] = 5 + (2z + 4) Reorder the terms: -1[4z + -1(5 + 7z)] = 5 + (2z + 4) -1[4z + (5 * -1 + 7z * -1)] = 5 + (2z + 4) -1[4z + (-5 + -7z)] = 5 + (2z + 4) Reorder the terms: -1[-5 + 4z + -7z] = 5 + (2z + 4) Combine like terms: 4z + -7z = -3z -1[-5 + -3z] = 5 + (2z + 4) [-5 * -1 + -3z * -1] = 5 + (2z + 4) [5 + 3z] = 5 + (2z + 4) Reorder the terms: 5 + 3z = 5 + (4 + 2z) Remove parenthesis around (4 + 2z) 5 + 3z = 5 + 4 + 2z Combine like terms: 5 + 4 = 9 5 + 3z = 9 + 2z Solving 5 + 3z = 9 + 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. 5 + 3z + -2z = 9 + 2z + -2z Combine like terms: 3z + -2z = 1z 5 + 1z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 1z = 9 + 0 5 + 1z = 9 Add '-5' to each side of the equation. 5 + -5 + 1z = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 9 + -5 1z = 9 + -5 Combine like terms: 9 + -5 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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