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

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


Simplifying
7(k + -3) + -1(6k + -6) = 7

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

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

Reorder the terms:
-21 + 6 + 7k + -6k = 7

Combine like terms: -21 + 6 = -15
-15 + 7k + -6k = 7

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

Solving
-15 + 1k = 7

Solving for variable 'k'.

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

Add '15' to each side of the equation.
-15 + 15 + 1k = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 1k = 7 + 15
1k = 7 + 15

Combine like terms: 7 + 15 = 22
1k = 22

Divide each side by '1'.
k = 22

Simplifying
k = 22

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