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

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


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

Reorder the terms:
-8 + 8k + 6k = 11k(10)

Combine like terms: 8k + 6k = 14k
-8 + 14k = 11k(10)

Reorder the terms for easier multiplication:
-8 + 14k = 11 * 10k

Multiply 11 * 10
-8 + 14k = 110k

Solving
-8 + 14k = 110k

Solving for variable 'k'.

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

Add '-110k' to each side of the equation.
-8 + 14k + -110k = 110k + -110k

Combine like terms: 14k + -110k = -96k
-8 + -96k = 110k + -110k

Combine like terms: 110k + -110k = 0
-8 + -96k = 0

Add '8' to each side of the equation.
-8 + 8 + -96k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -96k = 0 + 8
-96k = 0 + 8

Combine like terms: 0 + 8 = 8
-96k = 8

Divide each side by '-96'.
k = -0.08333333333

Simplifying
k = -0.08333333333

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