5k-(8k+11)=6(4-3k)

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Solution for 5k-(8k+11)=6(4-3k) equation:


Simplifying
5k + -1(8k + 11) = 6(4 + -3k)

Reorder the terms:
5k + -1(11 + 8k) = 6(4 + -3k)
5k + (11 * -1 + 8k * -1) = 6(4 + -3k)
5k + (-11 + -8k) = 6(4 + -3k)

Reorder the terms:
-11 + 5k + -8k = 6(4 + -3k)

Combine like terms: 5k + -8k = -3k
-11 + -3k = 6(4 + -3k)
-11 + -3k = (4 * 6 + -3k * 6)
-11 + -3k = (24 + -18k)

Solving
-11 + -3k = 24 + -18k

Solving for variable 'k'.

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

Add '18k' to each side of the equation.
-11 + -3k + 18k = 24 + -18k + 18k

Combine like terms: -3k + 18k = 15k
-11 + 15k = 24 + -18k + 18k

Combine like terms: -18k + 18k = 0
-11 + 15k = 24 + 0
-11 + 15k = 24

Add '11' to each side of the equation.
-11 + 11 + 15k = 24 + 11

Combine like terms: -11 + 11 = 0
0 + 15k = 24 + 11
15k = 24 + 11

Combine like terms: 24 + 11 = 35
15k = 35

Divide each side by '15'.
k = 2.333333333

Simplifying
k = 2.333333333

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