14(k+3)=3k-6

Solution for 14(k+3)=3k-6 equation:

Simplifying
14(k + 3) = 3k + -6

Reorder the terms:
14(3 + k) = 3k + -6
(3 * 14 + k * 14) = 3k + -6
(42 + 14k) = 3k + -6

Reorder the terms:
42 + 14k = -6 + 3k

Solving
42 + 14k = -6 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
42 + 14k + -3k = -6 + 3k + -3k

Combine like terms: 14k + -3k = 11k
42 + 11k = -6 + 3k + -3k

Combine like terms: 3k + -3k = 0
42 + 11k = -6 + 0
42 + 11k = -6

Add '-42' to each side of the equation.
42 + -42 + 11k = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 11k = -6 + -42
11k = -6 + -42

Combine like terms: -6 + -42 = -48
11k = -48

Divide each side by '11'.
k = -4.363636364

Simplifying
k = -4.363636364