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Simplifying -3(3z + 4) = 6z + -3(3z + 2) Reorder the terms: -3(4 + 3z) = 6z + -3(3z + 2) (4 * -3 + 3z * -3) = 6z + -3(3z + 2) (-12 + -9z) = 6z + -3(3z + 2) Reorder the terms: -12 + -9z = 6z + -3(2 + 3z) -12 + -9z = 6z + (2 * -3 + 3z * -3) -12 + -9z = 6z + (-6 + -9z) Reorder the terms: -12 + -9z = -6 + 6z + -9z Combine like terms: 6z + -9z = -3z -12 + -9z = -6 + -3z Solving -12 + -9z = -6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -12 + -9z + 3z = -6 + -3z + 3z Combine like terms: -9z + 3z = -6z -12 + -6z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -12 + -6z = -6 + 0 -12 + -6z = -6 Add '12' to each side of the equation. -12 + 12 + -6z = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6z = -6 + 12 -6z = -6 + 12 Combine like terms: -6 + 12 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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