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Simplifying 9 + -1(4z + -3) = 6 + -5z Reorder the terms: 9 + -1(-3 + 4z) = 6 + -5z 9 + (-3 * -1 + 4z * -1) = 6 + -5z 9 + (3 + -4z) = 6 + -5z Combine like terms: 9 + 3 = 12 12 + -4z = 6 + -5z Solving 12 + -4z = 6 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 12 + -4z + 5z = 6 + -5z + 5z Combine like terms: -4z + 5z = 1z 12 + 1z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 12 + 1z = 6 + 0 12 + 1z = 6 Add '-12' to each side of the equation. 12 + -12 + 1z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 6 + -12 1z = 6 + -12 Combine like terms: 6 + -12 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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