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

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


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

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

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

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

Reorder the terms:
-68 + 30k = 11(-3 + 2k) + 2
-68 + 30k = (-3 * 11 + 2k * 11) + 2
-68 + 30k = (-33 + 22k) + 2

Reorder the terms:
-68 + 30k = -33 + 2 + 22k

Combine like terms: -33 + 2 = -31
-68 + 30k = -31 + 22k

Solving
-68 + 30k = -31 + 22k

Solving for variable 'k'.

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

Add '-22k' to each side of the equation.
-68 + 30k + -22k = -31 + 22k + -22k

Combine like terms: 30k + -22k = 8k
-68 + 8k = -31 + 22k + -22k

Combine like terms: 22k + -22k = 0
-68 + 8k = -31 + 0
-68 + 8k = -31

Add '68' to each side of the equation.
-68 + 68 + 8k = -31 + 68

Combine like terms: -68 + 68 = 0
0 + 8k = -31 + 68
8k = -31 + 68

Combine like terms: -31 + 68 = 37
8k = 37

Divide each side by '8'.
k = 4.625

Simplifying
k = 4.625

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