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Simplifying 45 = 3(2 + z) 45 = (2 * 3 + z * 3) 45 = (6 + 3z) Solving 45 = 6 + 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. 45 + -3z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 45 + -3z = 6 + 0 45 + -3z = 6 Add '-45' to each side of the equation. 45 + -45 + -3z = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -3z = 6 + -45 -3z = 6 + -45 Combine like terms: 6 + -45 = -39 -3z = -39 Divide each side by '-3'. z = 13 Simplifying z = 13
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