3(4k+14)=10k-2k

Solution for 3(4k+14)=10k-2k equation:

Simplifying
3(4k + 14) = 10k + -2k

Reorder the terms:
3(14 + 4k) = 10k + -2k
(14 * 3 + 4k * 3) = 10k + -2k
(42 + 12k) = 10k + -2k

Combine like terms: 10k + -2k = 8k
42 + 12k = 8k

Solving
42 + 12k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
42 + 12k + -8k = 8k + -8k

Combine like terms: 12k + -8k = 4k
42 + 4k = 8k + -8k

Combine like terms: 8k + -8k = 0
42 + 4k = 0

Add '-42' to each side of the equation.
42 + -42 + 4k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 4k = 0 + -42
4k = 0 + -42

Combine like terms: 0 + -42 = -42
4k = -42

Divide each side by '4'.
k = -10.5

Simplifying
k = -10.5