2(k-8)-(4-6k)=7k

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Solution for 2(k-8)-(4-6k)=7k equation:


Simplifying
2(k + -8) + -1(4 + -6k) = 7k

Reorder the terms:
2(-8 + k) + -1(4 + -6k) = 7k
(-8 * 2 + k * 2) + -1(4 + -6k) = 7k
(-16 + 2k) + -1(4 + -6k) = 7k
-16 + 2k + (4 * -1 + -6k * -1) = 7k
-16 + 2k + (-4 + 6k) = 7k

Reorder the terms:
-16 + -4 + 2k + 6k = 7k

Combine like terms: -16 + -4 = -20
-20 + 2k + 6k = 7k

Combine like terms: 2k + 6k = 8k
-20 + 8k = 7k

Solving
-20 + 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.
-20 + 8k + -7k = 7k + -7k

Combine like terms: 8k + -7k = 1k
-20 + 1k = 7k + -7k

Combine like terms: 7k + -7k = 0
-20 + 1k = 0

Add '20' to each side of the equation.
-20 + 20 + 1k = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 1k = 0 + 20
1k = 0 + 20

Combine like terms: 0 + 20 = 20
1k = 20

Divide each side by '1'.
k = 20

Simplifying
k = 20

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