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Simplifying 2 + -1(4z + 5) = 9 + -1z Reorder the terms: 2 + -1(5 + 4z) = 9 + -1z 2 + (5 * -1 + 4z * -1) = 9 + -1z 2 + (-5 + -4z) = 9 + -1z Combine like terms: 2 + -5 = -3 -3 + -4z = 9 + -1z Solving -3 + -4z = 9 + -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. -3 + -4z + z = 9 + -1z + z Combine like terms: -4z + z = -3z -3 + -3z = 9 + -1z + z Combine like terms: -1z + z = 0 -3 + -3z = 9 + 0 -3 + -3z = 9 Add '3' to each side of the equation. -3 + 3 + -3z = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -3z = 9 + 3 -3z = 9 + 3 Combine like terms: 9 + 3 = 12 -3z = 12 Divide each side by '-3'. z = -4 Simplifying z = -4
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