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