3(2k-5)-k=4-3k+7

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Solution for 3(2k-5)-k=4-3k+7 equation: 


Simplifying
3(2k + -5) + -1k = 4 + -3k + 7

Reorder the terms:
3(-5 + 2k) + -1k = 4 + -3k + 7
(-5 * 3 + 2k * 3) + -1k = 4 + -3k + 7
(-15 + 6k) + -1k = 4 + -3k + 7

Combine like terms: 6k + -1k = 5k
-15 + 5k = 4 + -3k + 7

Reorder the terms:
-15 + 5k = 4 + 7 + -3k

Combine like terms: 4 + 7 = 11
-15 + 5k = 11 + -3k

Solving
-15 + 5k = 11 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-15 + 5k + 3k = 11 + -3k + 3k

Combine like terms: 5k + 3k = 8k
-15 + 8k = 11 + -3k + 3k

Combine like terms: -3k + 3k = 0
-15 + 8k = 11 + 0
-15 + 8k = 11

Add '15' to each side of the equation.
-15 + 15 + 8k = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 8k = 11 + 15
8k = 11 + 15

Combine like terms: 11 + 15 = 26
8k = 26

Divide each side by '8'.
k = 3.25

Simplifying
k = 3.25

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