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Simplifying -4(3 + -2z) = 9z (3 * -4 + -2z * -4) = 9z (-12 + 8z) = 9z Solving -12 + 8z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -12 + 8z + -9z = 9z + -9z Combine like terms: 8z + -9z = -1z -12 + -1z = 9z + -9z Combine like terms: 9z + -9z = 0 -12 + -1z = 0 Add '12' to each side of the equation. -12 + 12 + -1z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = 0 + 12 -1z = 0 + 12 Combine like terms: 0 + 12 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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