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Simplifying -1[4z + -1(7z + 9)] = 9 + (2z + 5) Reorder the terms: -1[4z + -1(9 + 7z)] = 9 + (2z + 5) -1[4z + (9 * -1 + 7z * -1)] = 9 + (2z + 5) -1[4z + (-9 + -7z)] = 9 + (2z + 5) Reorder the terms: -1[-9 + 4z + -7z] = 9 + (2z + 5) Combine like terms: 4z + -7z = -3z -1[-9 + -3z] = 9 + (2z + 5) [-9 * -1 + -3z * -1] = 9 + (2z + 5) [9 + 3z] = 9 + (2z + 5) Reorder the terms: 9 + 3z = 9 + (5 + 2z) Remove parenthesis around (5 + 2z) 9 + 3z = 9 + 5 + 2z Combine like terms: 9 + 5 = 14 9 + 3z = 14 + 2z Solving 9 + 3z = 14 + 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. 9 + 3z + -2z = 14 + 2z + -2z Combine like terms: 3z + -2z = 1z 9 + 1z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 9 + 1z = 14 + 0 9 + 1z = 14 Add '-9' to each side of the equation. 9 + -9 + 1z = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 14 + -9 1z = 14 + -9 Combine like terms: 14 + -9 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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