6(K-3)-7=5K-(4K-3)

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Solution for 6(K-3)-7=5K-(4K-3) equation:


Simplifying
6(K + -3) + -7 = 5K + -1(4K + -3)

Reorder the terms:
6(-3 + K) + -7 = 5K + -1(4K + -3)
(-3 * 6 + K * 6) + -7 = 5K + -1(4K + -3)
(-18 + 6K) + -7 = 5K + -1(4K + -3)

Reorder the terms:
-18 + -7 + 6K = 5K + -1(4K + -3)

Combine like terms: -18 + -7 = -25
-25 + 6K = 5K + -1(4K + -3)

Reorder the terms:
-25 + 6K = 5K + -1(-3 + 4K)
-25 + 6K = 5K + (-3 * -1 + 4K * -1)
-25 + 6K = 5K + (3 + -4K)

Reorder the terms:
-25 + 6K = 3 + 5K + -4K

Combine like terms: 5K + -4K = 1K
-25 + 6K = 3 + 1K

Solving
-25 + 6K = 3 + 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.
-25 + 6K + -1K = 3 + 1K + -1K

Combine like terms: 6K + -1K = 5K
-25 + 5K = 3 + 1K + -1K

Combine like terms: 1K + -1K = 0
-25 + 5K = 3 + 0
-25 + 5K = 3

Add '25' to each side of the equation.
-25 + 25 + 5K = 3 + 25

Combine like terms: -25 + 25 = 0
0 + 5K = 3 + 25
5K = 3 + 25

Combine like terms: 3 + 25 = 28
5K = 28

Divide each side by '5'.
K = 5.6

Simplifying
K = 5.6

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