6(k-9)-(2-2k)=7k

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Solution for 6(k-9)-(2-2k)=7k equation:


Simplifying
6(k + -9) + -1(2 + -2k) = 7k

Reorder the terms:
6(-9 + k) + -1(2 + -2k) = 7k
(-9 * 6 + k * 6) + -1(2 + -2k) = 7k
(-54 + 6k) + -1(2 + -2k) = 7k
-54 + 6k + (2 * -1 + -2k * -1) = 7k
-54 + 6k + (-2 + 2k) = 7k

Reorder the terms:
-54 + -2 + 6k + 2k = 7k

Combine like terms: -54 + -2 = -56
-56 + 6k + 2k = 7k

Combine like terms: 6k + 2k = 8k
-56 + 8k = 7k

Solving
-56 + 8k = 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.
-56 + 8k + -7k = 7k + -7k

Combine like terms: 8k + -7k = 1k
-56 + 1k = 7k + -7k

Combine like terms: 7k + -7k = 0
-56 + 1k = 0

Add '56' to each side of the equation.
-56 + 56 + 1k = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 1k = 0 + 56
1k = 0 + 56

Combine like terms: 0 + 56 = 56
1k = 56

Divide each side by '1'.
k = 56

Simplifying
k = 56

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