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Simplifying 74 = 4z + 3z + 2 + 4z + 3z + 2 Reorder the terms: 74 = 2 + 2 + 4z + 3z + 4z + 3z Combine like terms: 2 + 2 = 4 74 = 4 + 4z + 3z + 4z + 3z Combine like terms: 4z + 3z = 7z 74 = 4 + 7z + 4z + 3z Combine like terms: 7z + 4z = 11z 74 = 4 + 11z + 3z Combine like terms: 11z + 3z = 14z 74 = 4 + 14z Solving 74 = 4 + 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. 74 + -14z = 4 + 14z + -14z Combine like terms: 14z + -14z = 0 74 + -14z = 4 + 0 74 + -14z = 4 Add '-74' to each side of the equation. 74 + -74 + -14z = 4 + -74 Combine like terms: 74 + -74 = 0 0 + -14z = 4 + -74 -14z = 4 + -74 Combine like terms: 4 + -74 = -70 -14z = -70 Divide each side by '-14'. z = 5 Simplifying z = 5
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