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Simplifying -3(4 + -3z) = 4z + 3 (4 * -3 + -3z * -3) = 4z + 3 (-12 + 9z) = 4z + 3 Reorder the terms: -12 + 9z = 3 + 4z Solving -12 + 9z = 3 + 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 + 9z + -4z = 3 + 4z + -4z Combine like terms: 9z + -4z = 5z -12 + 5z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + 5z = 3 + 0 -12 + 5z = 3 Add '12' to each side of the equation. -12 + 12 + 5z = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5z = 3 + 12 5z = 3 + 12 Combine like terms: 3 + 12 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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