3(1+2k)+2(5k-6)=

Solution for 3(1+2k)+2(5k-6)= equation:

Simplifying
3(1 + 2k) + 2(5k + -6) = 0
(1 * 3 + 2k * 3) + 2(5k + -6) = 0
(3 + 6k) + 2(5k + -6) = 0

Reorder the terms:
3 + 6k + 2(-6 + 5k) = 0
3 + 6k + (-6 * 2 + 5k * 2) = 0
3 + 6k + (-12 + 10k) = 0

Reorder the terms:
3 + -12 + 6k + 10k = 0

Combine like terms: 3 + -12 = -9
-9 + 6k + 10k = 0

Combine like terms: 6k + 10k = 16k
-9 + 16k = 0

Solving
-9 + 16k = 0

Solving for variable 'k'.

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

Add '9' to each side of the equation.
-9 + 9 + 16k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16k = 0 + 9
16k = 0 + 9

Combine like terms: 0 + 9 = 9
16k = 9

Divide each side by '16'.
k = 0.5625

Simplifying
k = 0.5625