3(6-k)+7=-7(k-2)-6

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Solution for 3(6-k)+7=-7(k-2)-6 equation: 


Simplifying
3(6 + -1k) + 7 = -7(k + -2) + -6
(6 * 3 + -1k * 3) + 7 = -7(k + -2) + -6
(18 + -3k) + 7 = -7(k + -2) + -6

Reorder the terms:
18 + 7 + -3k = -7(k + -2) + -6

Combine like terms: 18 + 7 = 25
25 + -3k = -7(k + -2) + -6

Reorder the terms:
25 + -3k = -7(-2 + k) + -6
25 + -3k = (-2 * -7 + k * -7) + -6
25 + -3k = (14 + -7k) + -6

Reorder the terms:
25 + -3k = 14 + -6 + -7k

Combine like terms: 14 + -6 = 8
25 + -3k = 8 + -7k

Solving
25 + -3k = 8 + -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
25 + -3k + 7k = 8 + -7k + 7k

Combine like terms: -3k + 7k = 4k
25 + 4k = 8 + -7k + 7k

Combine like terms: -7k + 7k = 0
25 + 4k = 8 + 0
25 + 4k = 8

Add '-25' to each side of the equation.
25 + -25 + 4k = 8 + -25

Combine like terms: 25 + -25 = 0
0 + 4k = 8 + -25
4k = 8 + -25

Combine like terms: 8 + -25 = -17
4k = -17

Divide each side by '4'.
k = -4.25

Simplifying
k = -4.25

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