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Simplifying 6 + -1(3z + -2) = 3 + -4z Reorder the terms: 6 + -1(-2 + 3z) = 3 + -4z 6 + (-2 * -1 + 3z * -1) = 3 + -4z 6 + (2 + -3z) = 3 + -4z Combine like terms: 6 + 2 = 8 8 + -3z = 3 + -4z Solving 8 + -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. 8 + -3z + 4z = 3 + -4z + 4z Combine like terms: -3z + 4z = 1z 8 + 1z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 8 + 1z = 3 + 0 8 + 1z = 3 Add '-8' to each side of the equation. 8 + -8 + 1z = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 3 + -8 1z = 3 + -8 Combine like terms: 3 + -8 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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