102=6(-2k+1)

Solution for 102=6(-2k+1) equation:

Simplifying
102 = 6(-2k + 1)

Reorder the terms:
102 = 6(1 + -2k)
102 = (1 * 6 + -2k * 6)
102 = (6 + -12k)

Solving
102 = 6 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
102 + 12k = 6 + -12k + 12k

Combine like terms: -12k + 12k = 0
102 + 12k = 6 + 0
102 + 12k = 6

Add '-102' to each side of the equation.
102 + -102 + 12k = 6 + -102

Combine like terms: 102 + -102 = 0
0 + 12k = 6 + -102
12k = 6 + -102

Combine like terms: 6 + -102 = -96
12k = -96

Divide each side by '12'.
k = -8

Simplifying
k = -8