3(5k-3)-(k+2)=-67

Solution for 3(5k-3)-(k+2)=-67 equation:

Simplifying
3(5k + -3) + -1(k + 2) = -67

Reorder the terms:
3(-3 + 5k) + -1(k + 2) = -67
(-3 * 3 + 5k * 3) + -1(k + 2) = -67
(-9 + 15k) + -1(k + 2) = -67

Reorder the terms:
-9 + 15k + -1(2 + k) = -67
-9 + 15k + (2 * -1 + k * -1) = -67
-9 + 15k + (-2 + -1k) = -67

Reorder the terms:
-9 + -2 + 15k + -1k = -67

Combine like terms: -9 + -2 = -11
-11 + 15k + -1k = -67

Combine like terms: 15k + -1k = 14k
-11 + 14k = -67

Solving
-11 + 14k = -67

Solving for variable 'k'.

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

Add '11' to each side of the equation.
-11 + 11 + 14k = -67 + 11

Combine like terms: -11 + 11 = 0
0 + 14k = -67 + 11
14k = -67 + 11

Combine like terms: -67 + 11 = -56
14k = -56

Divide each side by '14'.
k = -4

Simplifying
k = -4