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Simplifying 2(3z + 4) + 4 = 3(7 + 3z) Reorder the terms: 2(4 + 3z) + 4 = 3(7 + 3z) (4 * 2 + 3z * 2) + 4 = 3(7 + 3z) (8 + 6z) + 4 = 3(7 + 3z) Reorder the terms: 8 + 4 + 6z = 3(7 + 3z) Combine like terms: 8 + 4 = 12 12 + 6z = 3(7 + 3z) 12 + 6z = (7 * 3 + 3z * 3) 12 + 6z = (21 + 9z) Solving 12 + 6z = 21 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 12 + 6z + -9z = 21 + 9z + -9z Combine like terms: 6z + -9z = -3z 12 + -3z = 21 + 9z + -9z Combine like terms: 9z + -9z = 0 12 + -3z = 21 + 0 12 + -3z = 21 Add '-12' to each side of the equation. 12 + -12 + -3z = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = 21 + -12 -3z = 21 + -12 Combine like terms: 21 + -12 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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