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Simplifying 3(3z + -2) = -3z + 18 Reorder the terms: 3(-2 + 3z) = -3z + 18 (-2 * 3 + 3z * 3) = -3z + 18 (-6 + 9z) = -3z + 18 Reorder the terms: -6 + 9z = 18 + -3z Solving -6 + 9z = 18 + -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. -6 + 9z + 3z = 18 + -3z + 3z Combine like terms: 9z + 3z = 12z -6 + 12z = 18 + -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 12z = 18 + 0 -6 + 12z = 18 Add '6' to each side of the equation. -6 + 6 + 12z = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 12z = 18 + 6 12z = 18 + 6 Combine like terms: 18 + 6 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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