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

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


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

Reorder the terms:
3(-7 + 2k) + -4 = -1(2k + -7)
(-7 * 3 + 2k * 3) + -4 = -1(2k + -7)
(-21 + 6k) + -4 = -1(2k + -7)

Reorder the terms:
-21 + -4 + 6k = -1(2k + -7)

Combine like terms: -21 + -4 = -25
-25 + 6k = -1(2k + -7)

Reorder the terms:
-25 + 6k = -1(-7 + 2k)
-25 + 6k = (-7 * -1 + 2k * -1)
-25 + 6k = (7 + -2k)

Solving
-25 + 6k = 7 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-25 + 6k + 2k = 7 + -2k + 2k

Combine like terms: 6k + 2k = 8k
-25 + 8k = 7 + -2k + 2k

Combine like terms: -2k + 2k = 0
-25 + 8k = 7 + 0
-25 + 8k = 7

Add '25' to each side of the equation.
-25 + 25 + 8k = 7 + 25

Combine like terms: -25 + 25 = 0
0 + 8k = 7 + 25
8k = 7 + 25

Combine like terms: 7 + 25 = 32
8k = 32

Divide each side by '8'.
k = 4

Simplifying
k = 4

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