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Simplifying 9(z + 3) = 3z + 51 Reorder the terms: 9(3 + z) = 3z + 51 (3 * 9 + z * 9) = 3z + 51 (27 + 9z) = 3z + 51 Reorder the terms: 27 + 9z = 51 + 3z Solving 27 + 9z = 51 + 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. 27 + 9z + -3z = 51 + 3z + -3z Combine like terms: 9z + -3z = 6z 27 + 6z = 51 + 3z + -3z Combine like terms: 3z + -3z = 0 27 + 6z = 51 + 0 27 + 6z = 51 Add '-27' to each side of the equation. 27 + -27 + 6z = 51 + -27 Combine like terms: 27 + -27 = 0 0 + 6z = 51 + -27 6z = 51 + -27 Combine like terms: 51 + -27 = 24 6z = 24 Divide each side by '6'. z = 4 Simplifying z = 4
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