Answer:
By the use of algebra.
Explanation:
You wish to break the quantity '12' into parts (number of parts not specified) and multiply each part by 6.
If you didn't want to break 12 into parts, the straight method would be to simply multiply 12 by 6. 12 × 6 = 72
Breaking 12 into 12 parts, you have
X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂
In this case, X₁ represents the first unit of the number 12. X₂ represents the second unit of the number 12. X₁₂ represents the last unit of the number 12.
Hence, X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ + X₈ + X₉ + X₁₀ + X₁₁ + X₁₂ = 12
Each X value is the number 1; just that it's in 12 places and each case has a separate identity.
Each X value can then be multiplied by 6 and the sum of all would be 72.