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Simplifying -1[4z + -1(10z + 3)] = 3 + (5z + 9) Reorder the terms: -1[4z + -1(3 + 10z)] = 3 + (5z + 9) -1[4z + (3 * -1 + 10z * -1)] = 3 + (5z + 9) -1[4z + (-3 + -10z)] = 3 + (5z + 9) Reorder the terms: -1[-3 + 4z + -10z] = 3 + (5z + 9) Combine like terms: 4z + -10z = -6z -1[-3 + -6z] = 3 + (5z + 9) [-3 * -1 + -6z * -1] = 3 + (5z + 9) [3 + 6z] = 3 + (5z + 9) Reorder the terms: 3 + 6z = 3 + (9 + 5z) Remove parenthesis around (9 + 5z) 3 + 6z = 3 + 9 + 5z Combine like terms: 3 + 9 = 12 3 + 6z = 12 + 5z Solving 3 + 6z = 12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + 6z + -5z = 12 + 5z + -5z Combine like terms: 6z + -5z = 1z 3 + 1z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 1z = 12 + 0 3 + 1z = 12 Add '-3' to each side of the equation. 3 + -3 + 1z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 12 + -3 1z = 12 + -3 Combine like terms: 12 + -3 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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