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Simplifying -1[10z + -1(14z + 5)] = 5 + (3z + 9) Reorder the terms: -1[10z + -1(5 + 14z)] = 5 + (3z + 9) -1[10z + (5 * -1 + 14z * -1)] = 5 + (3z + 9) -1[10z + (-5 + -14z)] = 5 + (3z + 9) Reorder the terms: -1[-5 + 10z + -14z] = 5 + (3z + 9) Combine like terms: 10z + -14z = -4z -1[-5 + -4z] = 5 + (3z + 9) [-5 * -1 + -4z * -1] = 5 + (3z + 9) [5 + 4z] = 5 + (3z + 9) Reorder the terms: 5 + 4z = 5 + (9 + 3z) Remove parenthesis around (9 + 3z) 5 + 4z = 5 + 9 + 3z Combine like terms: 5 + 9 = 14 5 + 4z = 14 + 3z Solving 5 + 4z = 14 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + 4z + -3z = 14 + 3z + -3z Combine like terms: 4z + -3z = 1z 5 + 1z = 14 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 1z = 14 + 0 5 + 1z = 14 Add '-5' to each side of the equation. 5 + -5 + 1z = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 14 + -5 1z = 14 + -5 Combine like terms: 14 + -5 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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