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

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


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

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

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

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

Combine like terms: 2 + -3 = -1
-68 + 30k = 11(-1) + 3k

Multiply 11 * -1
-68 + 30k = -11 + 3k

Solving
-68 + 30k = -11 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-68 + 30k + -3k = -11 + 3k + -3k

Combine like terms: 30k + -3k = 27k
-68 + 27k = -11 + 3k + -3k

Combine like terms: 3k + -3k = 0
-68 + 27k = -11 + 0
-68 + 27k = -11

Add '68' to each side of the equation.
-68 + 68 + 27k = -11 + 68

Combine like terms: -68 + 68 = 0
0 + 27k = -11 + 68
27k = -11 + 68

Combine like terms: -11 + 68 = 57
27k = 57

Divide each side by '27'.
k = 2.111111111

Simplifying
k = 2.111111111

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