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Simplifying 6 + -1(3z + -1) = 3 + -4z Reorder the terms: 6 + -1(-1 + 3z) = 3 + -4z 6 + (-1 * -1 + 3z * -1) = 3 + -4z 6 + (1 + -3z) = 3 + -4z Combine like terms: 6 + 1 = 7 7 + -3z = 3 + -4z Solving 7 + -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. 7 + -3z + 4z = 3 + -4z + 4z Combine like terms: -3z + 4z = 1z 7 + 1z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 7 + 1z = 3 + 0 7 + 1z = 3 Add '-7' to each side of the equation. 7 + -7 + 1z = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 3 + -7 1z = 3 + -7 Combine like terms: 3 + -7 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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