6+6(2t-1)=10k-2(k-7)

Solution for 6+6(2t-1)=10k-2(k-7) equation:

Simplifying
6 + 6(2t + -1) = 10k + -2(k + -7)

Reorder the terms:
6 + 6(-1 + 2t) = 10k + -2(k + -7)
6 + (-1 * 6 + 2t * 6) = 10k + -2(k + -7)
6 + (-6 + 12t) = 10k + -2(k + -7)

Combine like terms: 6 + -6 = 0
0 + 12t = 10k + -2(k + -7)
12t = 10k + -2(k + -7)

Reorder the terms:
12t = 10k + -2(-7 + k)
12t = 10k + (-7 * -2 + k * -2)
12t = 10k + (14 + -2k)

Reorder the terms:
12t = 14 + 10k + -2k

Combine like terms: 10k + -2k = 8k
12t = 14 + 8k

Solving
12t = 14 + 8k

Solving for variable 't'.

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

Divide each side by '12'.
t = 1.166666667 + 0.6666666667k

Simplifying
t = 1.166666667 + 0.6666666667k