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Simplifying 30 + -1(3 + -2z) = 24 + -1z 30 + (3 * -1 + -2z * -1) = 24 + -1z 30 + (-3 + 2z) = 24 + -1z Combine like terms: 30 + -3 = 27 27 + 2z = 24 + -1z Solving 27 + 2z = 24 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 27 + 2z + z = 24 + -1z + z Combine like terms: 2z + z = 3z 27 + 3z = 24 + -1z + z Combine like terms: -1z + z = 0 27 + 3z = 24 + 0 27 + 3z = 24 Add '-27' to each side of the equation. 27 + -27 + 3z = 24 + -27 Combine like terms: 27 + -27 = 0 0 + 3z = 24 + -27 3z = 24 + -27 Combine like terms: 24 + -27 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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