102=-6(1+3k)

Solution for 102=-6(1+3k) equation:

Simplifying
102 = -6(1 + 3k)
102 = (1 * -6 + 3k * -6)
102 = (-6 + -18k)

Solving
102 = -6 + -18k

Solving for variable 'k'.

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

Add '18k' to each side of the equation.
102 + 18k = -6 + -18k + 18k

Combine like terms: -18k + 18k = 0
102 + 18k = -6 + 0
102 + 18k = -6

Add '-102' to each side of the equation.
102 + -102 + 18k = -6 + -102

Combine like terms: 102 + -102 = 0
0 + 18k = -6 + -102
18k = -6 + -102

Combine like terms: -6 + -102 = -108
18k = -108

Divide each side by '18'.
k = -6

Simplifying
k = -6