6(5k-8)-20=11(2k-3)12

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Solution for 6(5k-8)-20=11(2k-3)12 equation:


Simplifying
6(5k + -8) + -20 = 11(2k + -3) * 12

Reorder the terms:
6(-8 + 5k) + -20 = 11(2k + -3) * 12
(-8 * 6 + 5k * 6) + -20 = 11(2k + -3) * 12
(-48 + 30k) + -20 = 11(2k + -3) * 12

Reorder the terms:
-48 + -20 + 30k = 11(2k + -3) * 12

Combine like terms: -48 + -20 = -68
-68 + 30k = 11(2k + -3) * 12

Reorder the terms:
-68 + 30k = 11(-3 + 2k) * 12

Reorder the terms for easier multiplication:
-68 + 30k = 11 * 12(-3 + 2k)

Multiply 11 * 12
-68 + 30k = 132(-3 + 2k)
-68 + 30k = (-3 * 132 + 2k * 132)
-68 + 30k = (-396 + 264k)

Solving
-68 + 30k = -396 + 264k

Solving for variable 'k'.

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

Add '-264k' to each side of the equation.
-68 + 30k + -264k = -396 + 264k + -264k

Combine like terms: 30k + -264k = -234k
-68 + -234k = -396 + 264k + -264k

Combine like terms: 264k + -264k = 0
-68 + -234k = -396 + 0
-68 + -234k = -396

Add '68' to each side of the equation.
-68 + 68 + -234k = -396 + 68

Combine like terms: -68 + 68 = 0
0 + -234k = -396 + 68
-234k = -396 + 68

Combine like terms: -396 + 68 = -328
-234k = -328

Divide each side by '-234'.
k = 1.401709402

Simplifying
k = 1.401709402

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