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Simplifying 8 + -1(4z + -6) = 2 + -5z Reorder the terms: 8 + -1(-6 + 4z) = 2 + -5z 8 + (-6 * -1 + 4z * -1) = 2 + -5z 8 + (6 + -4z) = 2 + -5z Combine like terms: 8 + 6 = 14 14 + -4z = 2 + -5z Solving 14 + -4z = 2 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 14 + -4z + 5z = 2 + -5z + 5z Combine like terms: -4z + 5z = 1z 14 + 1z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 14 + 1z = 2 + 0 14 + 1z = 2 Add '-14' to each side of the equation. 14 + -14 + 1z = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 2 + -14 1z = 2 + -14 Combine like terms: 2 + -14 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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