3(1+5k)-2(k-3)=22

Solution for 3(1+5k)-2(k-3)=22 equation:

Simplifying
3(1 + 5k) + -2(k + -3) = 22
(1 * 3 + 5k * 3) + -2(k + -3) = 22
(3 + 15k) + -2(k + -3) = 22

Reorder the terms:
3 + 15k + -2(-3 + k) = 22
3 + 15k + (-3 * -2 + k * -2) = 22
3 + 15k + (6 + -2k) = 22

Reorder the terms:
3 + 6 + 15k + -2k = 22

Combine like terms: 3 + 6 = 9
9 + 15k + -2k = 22

Combine like terms: 15k + -2k = 13k
9 + 13k = 22

Solving
9 + 13k = 22

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 + 13k = 22 + -9

Combine like terms: 9 + -9 = 0
0 + 13k = 22 + -9
13k = 22 + -9

Combine like terms: 22 + -9 = 13
13k = 13

Divide each side by '13'.
k = 1

Simplifying
k = 1