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Simplifying 3(4 + z) = 45 (4 * 3 + z * 3) = 45 (12 + 3z) = 45 Solving 12 + 3z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3z = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 45 + -12 3z = 45 + -12 Combine like terms: 45 + -12 = 33 3z = 33 Divide each side by '3'. z = 11 Simplifying z = 11
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