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Simplifying 8 + -1(3z + -8) = 3 + -4z Reorder the terms: 8 + -1(-8 + 3z) = 3 + -4z 8 + (-8 * -1 + 3z * -1) = 3 + -4z 8 + (8 + -3z) = 3 + -4z Combine like terms: 8 + 8 = 16 16 + -3z = 3 + -4z Solving 16 + -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. 16 + -3z + 4z = 3 + -4z + 4z Combine like terms: -3z + 4z = 1z 16 + 1z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 16 + 1z = 3 + 0 16 + 1z = 3 Add '-16' to each side of the equation. 16 + -16 + 1z = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 3 + -16 1z = 3 + -16 Combine like terms: 3 + -16 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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