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Simplifying 2(3z + 3) + -9 = 45 Reorder the terms: 2(3 + 3z) + -9 = 45 (3 * 2 + 3z * 2) + -9 = 45 (6 + 6z) + -9 = 45 Reorder the terms: 6 + -9 + 6z = 45 Combine like terms: 6 + -9 = -3 -3 + 6z = 45 Solving -3 + 6z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6z = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 45 + 3 6z = 45 + 3 Combine like terms: 45 + 3 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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