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Simplifying 8 + -1(3z + -5) = 2 + -4z Reorder the terms: 8 + -1(-5 + 3z) = 2 + -4z 8 + (-5 * -1 + 3z * -1) = 2 + -4z 8 + (5 + -3z) = 2 + -4z Combine like terms: 8 + 5 = 13 13 + -3z = 2 + -4z Solving 13 + -3z = 2 + -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. 13 + -3z + 4z = 2 + -4z + 4z Combine like terms: -3z + 4z = 1z 13 + 1z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 13 + 1z = 2 + 0 13 + 1z = 2 Add '-13' to each side of the equation. 13 + -13 + 1z = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 2 + -13 1z = 2 + -13 Combine like terms: 2 + -13 = -11 1z = -11 Divide each side by '1'. z = -11 Simplifying z = -11
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