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Simplifying 7 + -1(3z + -2) = 6 + -4z Reorder the terms: 7 + -1(-2 + 3z) = 6 + -4z 7 + (-2 * -1 + 3z * -1) = 6 + -4z 7 + (2 + -3z) = 6 + -4z Combine like terms: 7 + 2 = 9 9 + -3z = 6 + -4z Solving 9 + -3z = 6 + -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. 9 + -3z + 4z = 6 + -4z + 4z Combine like terms: -3z + 4z = 1z 9 + 1z = 6 + -4z + 4z Combine like terms: -4z + 4z = 0 9 + 1z = 6 + 0 9 + 1z = 6 Add '-9' to each side of the equation. 9 + -9 + 1z = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 6 + -9 1z = 6 + -9 Combine like terms: 6 + -9 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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