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

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


Simplifying
2(-6 + 5k) = 11(k + -3)
(-6 * 2 + 5k * 2) = 11(k + -3)
(-12 + 10k) = 11(k + -3)

Reorder the terms:
-12 + 10k = 11(-3 + k)
-12 + 10k = (-3 * 11 + k * 11)
-12 + 10k = (-33 + 11k)

Solving
-12 + 10k = -33 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
-12 + 10k + -11k = -33 + 11k + -11k

Combine like terms: 10k + -11k = -1k
-12 + -1k = -33 + 11k + -11k

Combine like terms: 11k + -11k = 0
-12 + -1k = -33 + 0
-12 + -1k = -33

Add '12' to each side of the equation.
-12 + 12 + -1k = -33 + 12

Combine like terms: -12 + 12 = 0
0 + -1k = -33 + 12
-1k = -33 + 12

Combine like terms: -33 + 12 = -21
-1k = -21

Divide each side by '-1'.
k = 21

Simplifying
k = 21

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