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Simplifying 3(3z + -2) = 4z + 9 Reorder the terms: 3(-2 + 3z) = 4z + 9 (-2 * 3 + 3z * 3) = 4z + 9 (-6 + 9z) = 4z + 9 Reorder the terms: -6 + 9z = 9 + 4z Solving -6 + 9z = 9 + 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. -6 + 9z + -4z = 9 + 4z + -4z Combine like terms: 9z + -4z = 5z -6 + 5z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + 5z = 9 + 0 -6 + 5z = 9 Add '6' to each side of the equation. -6 + 6 + 5z = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 9 + 6 5z = 9 + 6 Combine like terms: 9 + 6 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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