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Simplifying 104 = 2(3z + 1) + 2(4z + 2) Reorder the terms: 104 = 2(1 + 3z) + 2(4z + 2) 104 = (1 * 2 + 3z * 2) + 2(4z + 2) 104 = (2 + 6z) + 2(4z + 2) Reorder the terms: 104 = 2 + 6z + 2(2 + 4z) 104 = 2 + 6z + (2 * 2 + 4z * 2) 104 = 2 + 6z + (4 + 8z) Reorder the terms: 104 = 2 + 4 + 6z + 8z Combine like terms: 2 + 4 = 6 104 = 6 + 6z + 8z Combine like terms: 6z + 8z = 14z 104 = 6 + 14z Solving 104 = 6 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 104 + -14z = 6 + 14z + -14z Combine like terms: 14z + -14z = 0 104 + -14z = 6 + 0 104 + -14z = 6 Add '-104' to each side of the equation. 104 + -104 + -14z = 6 + -104 Combine like terms: 104 + -104 = 0 0 + -14z = 6 + -104 -14z = 6 + -104 Combine like terms: 6 + -104 = -98 -14z = -98 Divide each side by '-14'. z = 7 Simplifying z = 7
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