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Simplifying -1[6z + -1(16z + 4)] = 4 + (9z + 3) Reorder the terms: -1[6z + -1(4 + 16z)] = 4 + (9z + 3) -1[6z + (4 * -1 + 16z * -1)] = 4 + (9z + 3) -1[6z + (-4 + -16z)] = 4 + (9z + 3) Reorder the terms: -1[-4 + 6z + -16z] = 4 + (9z + 3) Combine like terms: 6z + -16z = -10z -1[-4 + -10z] = 4 + (9z + 3) [-4 * -1 + -10z * -1] = 4 + (9z + 3) [4 + 10z] = 4 + (9z + 3) Reorder the terms: 4 + 10z = 4 + (3 + 9z) Remove parenthesis around (3 + 9z) 4 + 10z = 4 + 3 + 9z Combine like terms: 4 + 3 = 7 4 + 10z = 7 + 9z Solving 4 + 10z = 7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 4 + 10z + -9z = 7 + 9z + -9z Combine like terms: 10z + -9z = 1z 4 + 1z = 7 + 9z + -9z Combine like terms: 9z + -9z = 0 4 + 1z = 7 + 0 4 + 1z = 7 Add '-4' to each side of the equation. 4 + -4 + 1z = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 7 + -4 1z = 7 + -4 Combine like terms: 7 + -4 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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