2(3)(20-2(3))+2(3)(40-2(3))=L

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Solution for 2(3)(20-2(3))+2(3)(40-2(3))=L equation:


Simplifying
2(3)(20 + -2(3)) + 2(3)(40 + -2(3)) = L

Multiply -2 * 3
2 * 3(20 + -6) + 2(3)(40 + -2(3)) = L

Combine like terms: 20 + -6 = 14
2 * 3(14) + 2(3)(40 + -2(3)) = L

Multiply 2 * 3
6 * 14 + 2(3)(40 + -2(3)) = L

Multiply 6 * 14
84 + 2(3)(40 + -2(3)) = L

Multiply -2 * 3
84 + 2 * 3(40 + -6) = L

Combine like terms: 40 + -6 = 34
84 + 2 * 3(34) = L

Multiply 2 * 3
84 + 6 * 34 = L

Multiply 6 * 34
84 + 204 = L

Combine like terms: 84 + 204 = 288
288 = L

Solving
288 = L

Solving for variable 'L'.

Move all terms containing L to the left, all other terms to the right.

Add '-1L' to each side of the equation.
288 + -1L = L + -1L

Combine like terms: L + -1L = 0
288 + -1L = 0

Add '-288' to each side of the equation.
288 + -288 + -1L = 0 + -288

Combine like terms: 288 + -288 = 0
0 + -1L = 0 + -288
-1L = 0 + -288

Combine like terms: 0 + -288 = -288
-1L = -288

Divide each side by '-1'.
L = 288

Simplifying
L = 288

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