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Simplifying -1(4z + -1(8z + 4)) = 4 + (3z + 9) Reorder the terms: -1(4z + -1(4 + 8z)) = 4 + (3z + 9) -1(4z + (4 * -1 + 8z * -1)) = 4 + (3z + 9) -1(4z + (-4 + -8z)) = 4 + (3z + 9) Reorder the terms: -1(-4 + 4z + -8z) = 4 + (3z + 9) Combine like terms: 4z + -8z = -4z -1(-4 + -4z) = 4 + (3z + 9) (-4 * -1 + -4z * -1) = 4 + (3z + 9) (4 + 4z) = 4 + (3z + 9) Reorder the terms: 4 + 4z = 4 + (9 + 3z) Remove parenthesis around (9 + 3z) 4 + 4z = 4 + 9 + 3z Combine like terms: 4 + 9 = 13 4 + 4z = 13 + 3z Solving 4 + 4z = 13 + 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. 4 + 4z + -3z = 13 + 3z + -3z Combine like terms: 4z + -3z = 1z 4 + 1z = 13 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 1z = 13 + 0 4 + 1z = 13 Add '-4' to each side of the equation. 4 + -4 + 1z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 13 + -4 1z = 13 + -4 Combine like terms: 13 + -4 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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