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Simplifying 9 + -1(3z + -3) = 5 + -4z Reorder the terms: 9 + -1(-3 + 3z) = 5 + -4z 9 + (-3 * -1 + 3z * -1) = 5 + -4z 9 + (3 + -3z) = 5 + -4z Combine like terms: 9 + 3 = 12 12 + -3z = 5 + -4z Solving 12 + -3z = 5 + -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. 12 + -3z + 4z = 5 + -4z + 4z Combine like terms: -3z + 4z = 1z 12 + 1z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + 1z = 5 + 0 12 + 1z = 5 Add '-12' to each side of the equation. 12 + -12 + 1z = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 5 + -12 1z = 5 + -12 Combine like terms: 5 + -12 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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