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Simplifying -1(6z + -1(11z + 3)) = 3 + (4z + 6) Reorder the terms: -1(6z + -1(3 + 11z)) = 3 + (4z + 6) -1(6z + (3 * -1 + 11z * -1)) = 3 + (4z + 6) -1(6z + (-3 + -11z)) = 3 + (4z + 6) Reorder the terms: -1(-3 + 6z + -11z) = 3 + (4z + 6) Combine like terms: 6z + -11z = -5z -1(-3 + -5z) = 3 + (4z + 6) (-3 * -1 + -5z * -1) = 3 + (4z + 6) (3 + 5z) = 3 + (4z + 6) Reorder the terms: 3 + 5z = 3 + (6 + 4z) Remove parenthesis around (6 + 4z) 3 + 5z = 3 + 6 + 4z Combine like terms: 3 + 6 = 9 3 + 5z = 9 + 4z Solving 3 + 5z = 9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + 5z + -4z = 9 + 4z + -4z Combine like terms: 5z + -4z = 1z 3 + 1z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + 1z = 9 + 0 3 + 1z = 9 Add '-3' to each side of the equation. 3 + -3 + 1z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 9 + -3 1z = 9 + -3 Combine like terms: 9 + -3 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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