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Simplifying 146 = 3z + 3z + 4z + 4z + 3 + 3 Reorder the terms: 146 = 3 + 3 + 3z + 3z + 4z + 4z Combine like terms: 3 + 3 = 6 146 = 6 + 3z + 3z + 4z + 4z Combine like terms: 3z + 3z = 6z 146 = 6 + 6z + 4z + 4z Combine like terms: 6z + 4z = 10z 146 = 6 + 10z + 4z Combine like terms: 10z + 4z = 14z 146 = 6 + 14z Solving 146 = 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. 146 + -14z = 6 + 14z + -14z Combine like terms: 14z + -14z = 0 146 + -14z = 6 + 0 146 + -14z = 6 Add '-146' to each side of the equation. 146 + -146 + -14z = 6 + -146 Combine like terms: 146 + -146 = 0 0 + -14z = 6 + -146 -14z = 6 + -146 Combine like terms: 6 + -146 = -140 -14z = -140 Divide each side by '-14'. z = 10 Simplifying z = 10
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