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Simplifying 3z + 24 = 3(2z + 4) Reorder the terms: 24 + 3z = 3(2z + 4) Reorder the terms: 24 + 3z = 3(4 + 2z) 24 + 3z = (4 * 3 + 2z * 3) 24 + 3z = (12 + 6z) Solving 24 + 3z = 12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 24 + 3z + -6z = 12 + 6z + -6z Combine like terms: 3z + -6z = -3z 24 + -3z = 12 + 6z + -6z Combine like terms: 6z + -6z = 0 24 + -3z = 12 + 0 24 + -3z = 12 Add '-24' to each side of the equation. 24 + -24 + -3z = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3z = 12 + -24 -3z = 12 + -24 Combine like terms: 12 + -24 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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