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Simplifying 9z + 12 = 8(z + 3) Reorder the terms: 12 + 9z = 8(z + 3) Reorder the terms: 12 + 9z = 8(3 + z) 12 + 9z = (3 * 8 + z * 8) 12 + 9z = (24 + 8z) Solving 12 + 9z = 24 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 12 + 9z + -8z = 24 + 8z + -8z Combine like terms: 9z + -8z = 1z 12 + 1z = 24 + 8z + -8z Combine like terms: 8z + -8z = 0 12 + 1z = 24 + 0 12 + 1z = 24 Add '-12' to each side of the equation. 12 + -12 + 1z = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 24 + -12 1z = 24 + -12 Combine like terms: 24 + -12 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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