2=4(3k-8)-11

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Solution for 2=4(3k-8)-11 equation: 


Simplifying
2 = 4(3k + -8) + -11

Reorder the terms:
2 = 4(-8 + 3k) + -11
2 = (-8 * 4 + 3k * 4) + -11
2 = (-32 + 12k) + -11

Reorder the terms:
2 = -32 + -11 + 12k

Combine like terms: -32 + -11 = -43
2 = -43 + 12k

Solving
2 = -43 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
2 + -12k = -43 + 12k + -12k

Combine like terms: 12k + -12k = 0
2 + -12k = -43 + 0
2 + -12k = -43

Add '-2' to each side of the equation.
2 + -2 + -12k = -43 + -2

Combine like terms: 2 + -2 = 0
0 + -12k = -43 + -2
-12k = -43 + -2

Combine like terms: -43 + -2 = -45
-12k = -45

Divide each side by '-12'.
k = 3.75

Simplifying
k = 3.75

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