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Simplifying 8 + -1(3z + -3) = 3 + -4z Reorder the terms: 8 + -1(-3 + 3z) = 3 + -4z 8 + (-3 * -1 + 3z * -1) = 3 + -4z 8 + (3 + -3z) = 3 + -4z Combine like terms: 8 + 3 = 11 11 + -3z = 3 + -4z Solving 11 + -3z = 3 + -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. 11 + -3z + 4z = 3 + -4z + 4z Combine like terms: -3z + 4z = 1z 11 + 1z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 11 + 1z = 3 + 0 11 + 1z = 3 Add '-11' to each side of the equation. 11 + -11 + 1z = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 3 + -11 1z = 3 + -11 Combine like terms: 3 + -11 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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