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

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

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

Reorder the terms:
-3(1 + 5k) + -2(k + -3) = 0
(1 * -3 + 5k * -3) + -2(k + -3) = 0
(-3 + -15k) + -2(k + -3) = 0

Reorder the terms:
-3 + -15k + -2(-3 + k) = 0
-3 + -15k + (-3 * -2 + k * -2) = 0
-3 + -15k + (6 + -2k) = 0

Reorder the terms:
-3 + 6 + -15k + -2k = 0

Combine like terms: -3 + 6 = 3
3 + -15k + -2k = 0

Combine like terms: -15k + -2k = -17k
3 + -17k = 0

Solving
3 + -17k = 0

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + -17k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -17k = 0 + -3
-17k = 0 + -3

Combine like terms: 0 + -3 = -3
-17k = -3

Divide each side by '-17'.
k = 0.1764705882

Simplifying
k = 0.1764705882