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Simplifying 2(3z + 4) + -5 = 4z + 7 Reorder the terms: 2(4 + 3z) + -5 = 4z + 7 (4 * 2 + 3z * 2) + -5 = 4z + 7 (8 + 6z) + -5 = 4z + 7 Reorder the terms: 8 + -5 + 6z = 4z + 7 Combine like terms: 8 + -5 = 3 3 + 6z = 4z + 7 Reorder the terms: 3 + 6z = 7 + 4z Solving 3 + 6z = 7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + 6z + -4z = 7 + 4z + -4z Combine like terms: 6z + -4z = 2z 3 + 2z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + 2z = 7 + 0 3 + 2z = 7 Add '-3' to each side of the equation. 3 + -3 + 2z = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 7 + -3 2z = 7 + -3 Combine like terms: 7 + -3 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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