6(2k+1)-6k-2=14.016

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Solution for 6(2k+1)-6k-2=14.016 equation:


Simplifying
6(2k + 1) + -6k + -2 = 14.016

Reorder the terms:
6(1 + 2k) + -6k + -2 = 14.016
(1 * 6 + 2k * 6) + -6k + -2 = 14.016
(6 + 12k) + -6k + -2 = 14.016

Reorder the terms:
6 + -2 + 12k + -6k = 14.016

Combine like terms: 6 + -2 = 4
4 + 12k + -6k = 14.016

Combine like terms: 12k + -6k = 6k
4 + 6k = 14.016

Solving
4 + 6k = 14.016

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + 6k = 14.016 + -4

Combine like terms: 4 + -4 = 0
0 + 6k = 14.016 + -4
6k = 14.016 + -4

Combine like terms: 14.016 + -4 = 10.016
6k = 10.016

Divide each side by '6'.
k = 1.669333333

Simplifying
k = 1.669333333

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