10k+11(-3k+2)=-4(6k-8)

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Solution for 10k+11(-3k+2)=-4(6k-8) equation: 


Simplifying
10k + 11(-3k + 2) = -4(6k + -8)

Reorder the terms:
10k + 11(2 + -3k) = -4(6k + -8)
10k + (2 * 11 + -3k * 11) = -4(6k + -8)
10k + (22 + -33k) = -4(6k + -8)

Reorder the terms:
22 + 10k + -33k = -4(6k + -8)

Combine like terms: 10k + -33k = -23k
22 + -23k = -4(6k + -8)

Reorder the terms:
22 + -23k = -4(-8 + 6k)
22 + -23k = (-8 * -4 + 6k * -4)
22 + -23k = (32 + -24k)

Solving
22 + -23k = 32 + -24k

Solving for variable 'k'.

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

Add '24k' to each side of the equation.
22 + -23k + 24k = 32 + -24k + 24k

Combine like terms: -23k + 24k = 1k
22 + 1k = 32 + -24k + 24k

Combine like terms: -24k + 24k = 0
22 + 1k = 32 + 0
22 + 1k = 32

Add '-22' to each side of the equation.
22 + -22 + 1k = 32 + -22

Combine like terms: 22 + -22 = 0
0 + 1k = 32 + -22
1k = 32 + -22

Combine like terms: 32 + -22 = 10
1k = 10

Divide each side by '1'.
k = 10

Simplifying
k = 10

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