7(6K-8)-16K=4K-(3K-19)

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Solution for 7(6K-8)-16K=4K-(3K-19) equation:


Simplifying
7(6K + -8) + -16K = 4K + -1(3K + -19)

Reorder the terms:
7(-8 + 6K) + -16K = 4K + -1(3K + -19)
(-8 * 7 + 6K * 7) + -16K = 4K + -1(3K + -19)
(-56 + 42K) + -16K = 4K + -1(3K + -19)

Combine like terms: 42K + -16K = 26K
-56 + 26K = 4K + -1(3K + -19)

Reorder the terms:
-56 + 26K = 4K + -1(-19 + 3K)
-56 + 26K = 4K + (-19 * -1 + 3K * -1)
-56 + 26K = 4K + (19 + -3K)

Reorder the terms:
-56 + 26K = 19 + 4K + -3K

Combine like terms: 4K + -3K = 1K
-56 + 26K = 19 + 1K

Solving
-56 + 26K = 19 + 1K

Solving for variable 'K'.

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

Add '-1K' to each side of the equation.
-56 + 26K + -1K = 19 + 1K + -1K

Combine like terms: 26K + -1K = 25K
-56 + 25K = 19 + 1K + -1K

Combine like terms: 1K + -1K = 0
-56 + 25K = 19 + 0
-56 + 25K = 19

Add '56' to each side of the equation.
-56 + 56 + 25K = 19 + 56

Combine like terms: -56 + 56 = 0
0 + 25K = 19 + 56
25K = 19 + 56

Combine like terms: 19 + 56 = 75
25K = 75

Divide each side by '25'.
K = 3

Simplifying
K = 3

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