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Simplifying 7(2z + 4) = 2(3z + 4) Reorder the terms: 7(4 + 2z) = 2(3z + 4) (4 * 7 + 2z * 7) = 2(3z + 4) (28 + 14z) = 2(3z + 4) Reorder the terms: 28 + 14z = 2(4 + 3z) 28 + 14z = (4 * 2 + 3z * 2) 28 + 14z = (8 + 6z) Solving 28 + 14z = 8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 28 + 14z + -6z = 8 + 6z + -6z Combine like terms: 14z + -6z = 8z 28 + 8z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 28 + 8z = 8 + 0 28 + 8z = 8 Add '-28' to each side of the equation. 28 + -28 + 8z = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 8z = 8 + -28 8z = 8 + -28 Combine like terms: 8 + -28 = -20 8z = -20 Divide each side by '8'. z = -2.5 Simplifying z = -2.5
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