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Simplifying 6 + -1(3z + -8) = 1 + -4z Reorder the terms: 6 + -1(-8 + 3z) = 1 + -4z 6 + (-8 * -1 + 3z * -1) = 1 + -4z 6 + (8 + -3z) = 1 + -4z Combine like terms: 6 + 8 = 14 14 + -3z = 1 + -4z Solving 14 + -3z = 1 + -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. 14 + -3z + 4z = 1 + -4z + 4z Combine like terms: -3z + 4z = 1z 14 + 1z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 14 + 1z = 1 + 0 14 + 1z = 1 Add '-14' to each side of the equation. 14 + -14 + 1z = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 1 + -14 1z = 1 + -14 Combine like terms: 1 + -14 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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