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Simplifying 12 = 3(z + 8) Reorder the terms: 12 = 3(8 + z) 12 = (8 * 3 + z * 3) 12 = (24 + 3z) Solving 12 = 24 + 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. 12 + -3z = 24 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + -3z = 24 + 0 12 + -3z = 24 Add '-12' to each side of the equation. 12 + -12 + -3z = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = 24 + -12 -3z = 24 + -12 Combine like terms: 24 + -12 = 12 -3z = 12 Divide each side by '-3'. z = -4 Simplifying z = -4
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